Department of Mathematical Analysis and Applications of Mathematics
Faculty of Science
Palacký University
e-mail: irena.rachunkova@upol.cz
Education and degrees
graduated from Faculty of Science, Palacký University, in numerical
mathematics (1970)
1970 RNDr. (Doctor of Natural Sciences), Faculty of Science,
Palacký University, in algebra and number theory
1976 CSc. (Ph.D.) Palacký University, in mathematical analysis
1985 associate professor, Palacky University, in mathematical
analysis
1996 DrSc. (Doctor of Sciences), Mathematical Institute of the
Czech Academy of Sciences, Prague, in mathematical analysis
1998 professor, Palacký University, in mathematical analysis
Employment
Department of Mathematical Analysis and Applications of Mathematics,
Palacký University, Olomouc, full-professor.
Bachelor theses
New topics
Population dynamical models
Epidemic dynamical models
Economical dynamical models
Rotated pendulum
Oscillators
Gradient systems
Present theses
V. Durdyová: May's population model
Accepted theses
2018 - A. Čulíková: Epidemic dynamical models
2013 - Ž. Vančurová: Continuous multiplicator-accelerator
model
2013 - K. Halouzková: Smith's model of harvesting strategy
2013 - P. Běhalová: Predator-prey model
2012 - K. Dvorská: Phase portraits of mathematical pendulum
2010 - L. Kozelková: IS-LM model of the economy
2010 - J. Studnička: Gompertz population equation
2009 - D. Cahová: Matematical model eutrophication of lake
Mendota
2009 - Z. Červenková: Dynamical systems and their
applications
2009 - M. Dvorská: Local extrema of implicit functions
2007 - J. Stankuš: Diskrete population models
2003 - K. Machová: Genetic dynamical models
2003 - H. Pecinová: Dynamical systems in social sciences
2003 - Existence and uniqueness of solutions of BVPs of second
order ODEs
2003 - M. Blažej: Discrete population models
2002 - M. Jamborová: Application of the theory of dynamical
systems in finances
2001 - K. Jurečková: Discrete dynamical systems and their
application in population growth models
2001 - K. Ptáčková: Stair-step diagrams and their application in
harvesting strategy models
2000 - K. Tobolová: Discrete dynamical modeling
2000 - H. Pichlová: Linear dynamical systems and their
application in social sciences
1999 - A. Ondruchová: Linear dynamical systems and their
application in genetics
1998 - J. Ondráčková: Dynamical systems of the first order
Master theses
New topics
Impulsive initial value problem for ordinary differential equations
Impulsive boundary value problem for ordinary differential equations
Present theses
K. Dudková: Differential equations with impulses
J. Kalas: Mathematical modelling and integral equations
Accepted theses
2018 - L. Horáčková: Stable and unstable manifolds of planar
dynamical systems
2016 - Š. Dedinský: Impulsive initial problem for ordinary
differential equations
2015 - K. Daňková: Damped pendulum with torque
2012 - I. Stejskalová: Elementary bifurcations of dynamical systems
2007 - B. Beníšková: Topological methods in the theory of BVPs
of differential equations
2005 - L. Fenclová: Dynamical systems and their application in
epidemiology
2004 - I. Mikešová: Population models
2004 - J. Tomeček: Nonlinear BVPs for differential equations
with impulses
2003 - Periodic boundary value problems
2003 - V. Polášek: Impulsive periodic problem
2002 - J. Wyzulová: Nonhyperbolic critical points of dynamical
systems
2002 - R. Urbánek: Existence and uniqueness of solutions of BVPs
of ODEs
2000 - S. Salcburgerová: Macroeconomical models
2000 - H. Tománková: BVPs of differential equations of the
second order on infinite interval
1999 - R. Literák: BVPs of ordinary differential equations of
the second order
1998 - Nováčková: Mathematical modeling and differential
equations
1998 - M. Dvořáková: Differential equations ? dynamical systems
approach
1997 - Asymptotic properties of solutions of ODEs of the second
order
1996 - H. Krejčí: Dynamical systems and their application in
economics
1996 - M. Hájek: Periodical solutions of differential
systems
1995 - I. Štěrbová: Dynamical systems and their application
1995 - J. Marek: Dynamical systems and bifurcations
1994 - M. Pallová: Asymptotic properties of solutions of ODEs
and program PHASER
1994 - D. Vlčková: BVPs of ODEs and program PHASER
1993 - T. Palkovský: Topological methods of the study of
BVPs
Disertation theses
Accepted theses
2017 - Martin Rohleder: Boundary value problems with time
singularity
2015 - Jana Burkotová: Asymptotic behaviour of differential models
2012 - Jakub Stryja: Singular Dirichlet problems for
differential equation of the second order
2007 - Jan Tomeček: Impulsive boundary value problems
2006 - Vladimír Polášek: Boundary value problems with
phi-Laplacian
2005 - Jan Draessler: Periodic boundary value problem for
ordinary second order differential equations
1998 - Pavel Calábek: Boundary value problems for systems of
second order differential equations
1992 - Martin Šenkyřík: On a third-order three-point nonlinear
boundary value problem
Grants
2014-2016: GAČR 14-06958S - "Singularities and impulses in
boundary value problems for nonlinear ordinary differential
equations"
2013-2015: CZ.1.07/2.2.00/28.0141 - "Streamling the
Mathematics Studies at the Faculty of Science of Palacky University
Olomouc"
2013-2015: CZ.1.07/2.3.00/30.0041 - "Support the creation of
excellent research teams and intersectoral mobility at Palacky
University in Olomouc II"
2005-2011: MSM 6198959214 - Research project "Mathematical
Models and Structures"
2007-2009: GAAV IAA100190703 - "Singular nonlinear boundary
value problems"
2004-2006: GAČR 201/04/1077 - "Qualitative analysis of
solutions of ordinary and functional differential equations"
2003-2005: RP MŠMT - "Realization of the bachelor study
program Mathematics and its Applications"
1999-2004: MSM 153100011 - Research project "Development of
structural theory of algebraical and geometrical systems, theoretical
and numerical analysis of mathematical models"
2001-2003: GAČR 201/01/1451 - "Qualitative analysis of
ordinary and functional differential equations"
2000: FRVŠ 158/2000 - "Differential equations, dynamical
systems and their applications"
1998-2000: GAČR 201/98/0318 - "Qualitative analysis of
ordinary and functional differential equations"
1998: PG 98 479 - "Qualitative properties of solutions of
functional and ordinary differential equations"
1997: PG 97 207 - "Qualitative properties of solutions of
functional and ordinary differential equations"
1996: FRVŠ - "Dynamical systems, boundary value problems and
their applications II"
1995: FRVŠ - "Dynamical systems, boundary value problems and
their applications I"
Research
qualitative theory of differential and difference equations, singular
boundary value problems and problems with impulses
List of publications
2018 + accepted
I. Rachůnková, J. Tomeček: Equivalence between distributional
differential equations and periodic problems with state-dependent
impulses. EJQTDE 2 (2018), 1-22.
W. Auzinger, J. Burkotová, I. Rachůnková, V. Wenin: Shooting
methods for state-dependent impulsive boundary value problems
with applications. Applied Numerical Mathematics 128 (2018),
217-229.
J. Burkotová, I. Rachůnková, S. Staněk, E. Weinmüller, S. Wurm:
On nonlinear singular BVPs with nonsmooth data. Part 1: Analytical
results. Applied Numerical Mathematics 130 (2018), 23-50.
I. Rachůnková, J. Tomeček: Distributional van der Pol equation
with state-dependent impulses. Lithuanian Mathematical Journal 58
(2018), 185-197.
L. Rachůnek, I. Rachůnková: Homoclinic solutions of singular
differential equations with phi-Laplacian. EJQTDE 72 (2018), 1-19.
2017
J. Burkotová, I. Rachůnková, E. B. Weinmüller: On singular BVPs
with unsmooth data. Analysis of the linear case with variable
coefficient matrix. Applied Numerical Mathematics 114 (2017),
77-96. PDF
A. Rontó, I. Rachůnková, M. Rontó, L. Rachůnek: Investigation
of solutions of state-dependent multi-impulsive boundary value
problem. Georgian Mathematical Journal (2017) 24 (2): 287-312.
PDF
I. Rachůnková, J. Tomeček: Antiperiodic solution of van der Pol
equation with state-dependent impulses. Electronic Journal of
Differential Equations 247 (2017), 1-17.
J. Burkotová, I. Rachůnková, E. B. Weinmüller: On singular
BVPs with unsmooth data. Convergence of the collocation
schemes. BIT Numer. Math. (2017) 57: 1153-1184.
I. Rachůnková, J. Tomeček: Impulsive problems and
distributional differential equations. Functional
differential equations 24 (2017), 111-126.
2016
J. Burkotová, I. Rachůnková, M. Rohleder, J. Stryja: Existence
and uniqueness of damped solutions of singular IVPs with
phi-Laplacian. EJQTDE 121 (2016) 1-28.
PDF
I. Rachůnková, L. Rachůnek, A. Rontó, M. Rontó: A constructive
approach to boundary value problems with state-dependent impulses.
Applied Mathematics and Computation 274 (2016) 726-744.
PDF
J. Burkotová, M. Hubner, I. Rachůnková, E. B. Weinmüller: Asymptotic
properties of Kneser solutions to nonlinear second order ODE with
regularly varying coefficients. Applied Mathematics and Computation
274 (2016) 65-82. PDF
2015
I. Rachůnková, J. Tomeček: State-Dependent Impulses: Boundary Value
Problems on Compact Interval. Atlantis Press, Paris 2015.
I. Rachůnková, J. Stryja: Lower and upper functions in singular
Dirichlet problem with phi-Laplacian. Mathematical Notes 97, 4 (2015),
588-597. PDF
J. Burkotová, I. Rachůnková, S. Staněk, E. B. Weinmüller: Analytical and
numerical treatment of singular linear BVPs with unsmooth
inhomogeneity. AIP Conf. Proc., Vol. 1648, Rhodos, 2014.
I. Rachůnková, J. Tomeček: Fixed point problem associated with
state-dependent impulsive boundary value problems. AIP Conf. Proc., Vol
1648, Rhodos, 2014.
2014
I. Rachůnková, J. Tomeček: Existence principle for BVPs with
state-dependent impulses. Topol. Methods in Nonlin. Analysis 44, 2
(2014), 349-368. PDF
I. Rachůnková, J. Tomeček: Second order BVPs with
state-dependent impulses via lower and upper functions. Central
European Journal of Mathematics 12, 1 (2014), 128-140.
PDF
I. Rachůnková, J. Tomeček: Existence principle for higher order
nonlinear differential equations with state-dependent impulses via
fixed point theorem. Boundary Value Problems 2014, 2014:118, 15 pp.
PDF
J. Gchwindl, I. Rachůnková, S. Staněk, E. Weinmüller: Positive
blow-up solutions to nonlinear models from real world dynamics.
Boundary Value Problems 2014, 2014:121, 23 pp.
PDF
J. Burkotová, I. Rachůnková, S. Staněk, E. Weinmüller: On linear
ODEs with a time singularity of the first kind and unsmooth
inhomogeneity. Boundary Value Problems 2014, 2014:183, 34 pp.
PDF
I. Rachůnková, J. Tomeček: Fixed point problem associated with
state-dependent impulsive boundary value problems. Boundary Value
Problems 2014, 2014:172, 17 pp. PDF
I. Rachůnková et al.: A tribute to Ivan Kiguradze. Boundary
Value Problems 2014, 2014:228, 11 pp.
PDF
2013
I. Rachůnková, S. Staněk: Properties of the set of positive
solutions to Dirichlet boundary value problems with time
singularities. Central European Journal of Mathematics 11 (1)
(2013), 112-132. PDF
I. Rachůnková, A. Spielauer, S. Staněk, E. Weinmüller: The
structure of a set of positive solutions to Dirichlet BVPs with time
and space singularities. Georgian Math. J. 20 (1) (2013), 95-127.
PDF
I. Rachůnková, J. Tomeček: New approach to BVPs with
state-dependent impulses. Boundary Value Problems 2013, 2013: 22,
13 pp. PDF
I. Rachůnková, A. Spielauer, S. Staněk, E. Weinmüller: Positive
solutions of nonlinear Dirichlet BVPs in ODEs with time and space
singularities. Boundary Value Problems 2013 2013:6, 22 pp.
PDF
I. Rachůnková, J. Tomeček: Impulsive system of ODEs with general
linear boundary conditions. Electronic Journal of Qualitative
Theory of Differential Equations 25 (2013), 1-16.
PDF
L. Rachůnek, I. Rachůnková: First order nonlinear differential
equations with state-dependent impulses. Boundary Value Problems
2013, 2013: 195, 18 pp. PDF
2011
L. Rachůnek, I. Rachůnková: Homoclinic solutions of
non-autonomous difference equations arising in hydrodynamics.
Nonlinear Analysis: Real World Applications 12 (2011), 14-23.
PDF
L. Rachůnek, I. Rachůnková: On a homoclinic point of some
autonomous second-order difference equation. Journal of Difference
Equations and Applications 17 (2011), 753-764.
PDF
I. Rachůnková, L. Rachůnek, J. Tomeček: Existence of oscillatory
solutions of singular nonlinear differential equations. Abstract
and Applied Analysis. Vol. 2011, Article ID 408525, 20 pages.
PDF
I. Rachůnková, L. Rachůnek: Asymptotic formula for oscillatory
solutions of some singular nonlinear differential equation.
Abstract and Applied Analysis. Vol. 2011, Article ID 981401, 9 pages.
PDF
A. Feichtinger, I. Rachůnková, S. Staněk, E. Weinmüller:
Periodic BVPs in ODEs with time singularities. Computers and
Mathematics with Applications 62 (2011), 2058-2070.
PDF
I. Rachůnková: Asymptotic properties of homoclinic solutions of
some singular nonlinear differential equations. Memoirs on
Differential Equations and Math. Physics 54 (2011), 83-98.
PDF
2010
I. Rachůnková, G. Pulverer, E. Weinmüller: A unified aproach to
singular problems arising in the membrane theory. Applications of
Mathematics 55 (2010), 47-75. PDF
I. Rachůnková, S. Staněk, E. Weinmüller, M. Zenz: Neumann
problems with time singularities. Computers and Mathematics with
Applications 60 (2010), 722-733. PDF
L. Rachůnek, I. Rachůnková: Homoclinic solutions of
non-autonomous difference equations arising in hydrodynamics.
Nonlinear Analysis: Real World Applications 12 (2011), 14-23.
PDF
I. Rachůnková, J. Tomeček: Bubble-type solutions of nonlinear
singular problems. Mathematical and Computer Modelling 51 (2010),
658-669. PDF
I. Rachůnková, J. Tomeček: Strictly increasing solutions of a
nonlinear singular differential equation arising in hydrodynamics.
Nonlinear Analysis 72 (2010), 2114-2118. PDF
L. Rachůnek, I. Rachůnková: Strictly increasing solutions of
non-autonomous difference equations arising in hydrodynamics.
Advances in Difference Equations, Recent Trends in Differential and
Difference Equations. Vol. 2010, Article ID 714891, 11 pages.
PDF
I. Rachůnková, J. Tomeček, J. Stryja: Oscillatory solutions of
singular equations arising in hydrodynamics. Advances in Difference
Equations, Recent Trends in Differential and Difference Equations. Vol.
2010, Article ID 872160, 13 pages. PDF
2009
L. Rachůnek, I. Rachůnková: Approximation of differential
problems with singularities and time discontinuities. Nonlinear
Analysis, TMA 71 (2009), e1448-e1460. PDF
I. Rachůnková, J. Tomeček: Homoclinic solutions of singular
nonautonomous second order differential equations. Boundary Value
Problems. Vol. 2009, Article ID 959636, 21 pages.
PDF
I. Rachůnková, J. Tomeček: Singular problems on the
half-line. Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica
48 (2009), 109-128. PDF
I. Rachůnková, J. Tomeček: Singular nonlinear problem for
ordinary differential equation of the second-order on the
half-line. Mathematical Models in Engineering, Biology, and
Medicine, Proceedinngs of the International Conference on Boundary
Value Problems, edited by A. Cabada, E. Lis and J. J. Nieto, (2009),
294-303. PDF
I. Rachůnková, S. Staněk, M. Tvrdý: Solvability of Nonlinear
Singular Problems for Ordinary Differential Equations. Hindawi
Publishing Corporation, New York, USA, 2009, 268 pages.
PDF
I. Rachůnková, S. Staněk, E. Weinmüller, M. Zenz: Limit
properties of solutions of singular second-order differential
equations. Boundary Value Problems, Vol. 2009, Article ID 905769,
28 pages. PDF
I. Rachůnková, L. Rachůnek: Singular discrete and continuous
mixed boundary value problems. Math. Comp. Modelling 49 (2009),
413-422. PDF
2008
I. Rachůnková, L. Rachůnek: Singular discrete problem arising in
the theory of shallow membrane caps. Journal of Difference
Equations and Applications 14 (2008), 747-767.
PDF
I. Rachůnková, J. Stryja: Dirichlet problem with phi-Laplacian
and mixed singularities. Nonlinear Oscillations 11 (2008), 81-95.
PDF
2007
I. Rachůnková, J. Stryja: Singular Dirichlet boundary value
problem for second order ODE. Georgian Math. Journal 14 (2007),
325-340. PDF
I. Rachůnková, L. Rachůnek: Solvability of discrete Dirichlet
problem via lower and upper functions method. Journal of Difference
Equations and Applications 13 (2007), 423-429.
PDF
I. Rachůnková, C. C. Tisdell: Existence of non-spurious
solutions to discrete Dirichlet problems with lower and upper
solutions. Nonlinear Analysis 67 (2007), 1236-1245.
PDF
I. Rachůnková, O. Koch, G. Pulverer, E. Weinmüller: On a
singular boundary value problem arising in the theory of shallow
membrane caps. J. Math. Anal. Appl. 332 (2007), 523-541.
PDF
D. R. Anderson, I. Rachůnková, C. C. Tisdell: Solvability of
discrete Neumann boundary value problems. J. Math. Anal. Appl. 331
(2007), 736-741. PDF
I. Rachůnková, J. Tomeček: Singular nonlinear problem for
ordinary differential equation of the second order. Acta Univ.
Palacki. Olomuc., Fac. rer. nat., Mathematica 46 (2007), 75-84.
PDF
2006
I. Rachůnková: Singular mixed boundary value problem. J.
Math. Anal. Appl. 320 (2006), 611-618. PDF
I. Rachůnková, J. Tomeček: Singular Dirichlet problem for
ordinary differential equation with impulses. Nonlinear Analysis
65 (2006), 210-229. PDF
I. Rachůnková, S. Staněk, M. Tvrdý: Singularities and Laplacians
in Boundary Value Problems for Nonlinear Ordinary Differential
Equations. Handbook of Differential Equations. Ordinary
Differential Equations, vol.3, pp. 607-723. Ed. by A. Cañada, P.
Drábek, A. Fonda. Elsevier 2006. PDF
V. Polášek, I. Rachůnková: Singular periodic problem for
nonlinear ordinary differential equations with phi-Laplacian.
Electronic J. Differential Equations, Vol.2006 (2006), No. 27, pp.
1-12. PDF
I. Rachůnková: Strong singularities in mixed boundary value
problems. Mathematica Bohemica 131 (2006), 393-409.
PDF
I. Rachůnková, L. Rachůnek: Singular discrete second order BVPs
with p-Laplacian. Journal of Difference Equations and Applications
12 (2006), 811-819. PDF
I. Rachůnková, C. C. Tisdell: Existence of non-spurious
solutions to discrete boundary value problems. Australian Journal
of Mathematical Analysis and Applications 3 (2006), 1-9.
PDF
I. Rachůnková: Superlinear mixed BVP with time and space
singularities. Conference Proceedings CDDEA 2005, Hindawi Publ.
Corporation, Eds. R. P. Agarwal, K. Perera, 2006, pp. 953-961.
PDF
I. Rachůnková, M. Tvrdý: Periodic singular problem with
quasilinear differential operator. Mathematica Bohemica 131 (2006),
321-336. PDF
2005
V. Polášek, I. Rachůnková: Singular Dirichlet problem for
ordinary differential equations with phi-Laplacian. Mathematica
Bohemica 130 (2005), 409-425. PDF
I. Rachůnková, M. Tvrdý: Second order periodic problems with
phi-Laplacian and impulses. Proc. WCNA 2004. Nonlinear Analysis 63
(2005), e257-e266. PDF
I. Rachůnková, M. Tvrdý: Periodic problems with phi-Laplacian
involving non-ordered lower and upper functions. Fixed Point Theory
6 (2005), 99-112. PDF
I. Rachůnková, M. Tvrdý: Method of lower and upper functions in
impulsive periodic boundary value problems. EQUADIFF 2003, pp.
252-257. World Scientific, Singapore 2005.
I. Rachůnková, M. Tvrdý: Non-ordered lower and upper functions
in second order impulsive periodic problems. DCDIS, Ser. A, Math.
Anal. 12 (2005), 397-415. PDF
2004
I. Rachůnková, M. Tvrdý: Nonmonotone impulse effects in second
order periodic boundary value problems. Abstr. Appl. Anal. 7
(2004), 577-590. PDF
I. Rachůnková, M. Tvrdý: Construction of non-constant lower and
upper functions for impulsive periodic problems. Electronic J.
Qualit. Th. Diff. Equations (Proc. 7th Coll. QTDE) 19 (2004), 1-8.
PDF
I. Rachůnková, J. Tomeček: Impulsive BVPs with nonlinear
boundary conditons for the second order differential equations without
growth restrictions. J. Math. Anal. Appl. 292 (2004), 525-539.
PDF
I. Rachůnková, S. Staněk: General existence principle for
singular BVPs and its applications. Georgian Mathematical Journal
11 (2004), 549-565. PDF
I. Rachůnková, S. Staněk: A singular boundary value problem for
odd order differential equations. J. Math. Anal. Appl. 291 (2004),
741-756. PDF
I. Rachůnková, M. Tvrdý: Existence results for impulsive second
order periodic problems. Nonlin. Anal. 59 (2004), 133-146.
PDF
I. Rachůnková, S. Staněk: Zeros of derivatives of solutions to
singular (p,n-p) conjugate BVPs. Acta Univ. Palacki. Olomuc., Fac.
rer. nat., Mathematica 43 (2004), 137-141. PDF
2003
I. Rachůnková: Singular Dirichlet second order boundary value
problems with impulses. Journal Diff. Equations 193 (2003),
435-459. PDF
I. Rachůnková, S. Staněk: Sturm-Liouville and focal higher order
BVPs with singularities in phase variables. Georgian Mathematical
Journal 10 (2003), 165-191. PDF
I. Rachůnková, S. Staněk: Sign-changing solutions of singular
Dirichlet boundary value problems. Archives of Inequalities and
Applications 1 (2003), 11-30. PDF
I. Rachůnková, S. Staněk: Connections between types of
singularities in differential equations and smoothness of solutions of
Dirichlet BVPs. Dyn. Contin. Discrete Impulsive Syst. 10 (2003),
209-222. PDF
I. Rachůnková, M. Tvrdý, I. Vrkoč: Resonance and multiplicity in
periodic boundary value problems with singularity. Mathematica
Bohemica 128 (2003), 45-70. PDF
R. P. Agarwal, D. O'Regan, I. Rachůnková, S. Staněk: Two-point
higher order BVPs with singularities in phase variables. Computers
and Mathematics with Applications 46 (12) (2003), 1799-1826.
PDF
2002
I. Rachůnková, M. Tvrdý: Localization of nonsmooth lower and
upper functions for periodic boundary value problems, Math.
Bohemica 127 (2002), 531-545. PDF
I. Rachůnková, J. Tomeček: On nonlinear boundary value problems
with impulses, Mathematical Notes (Miskolc) 3 (2002), 59-69.
PDF
I. Rachůnková, J. Tomeček: On nonlinear boundary value problems
for systems of differential equations with impulses. Acta Univ.
Palacki. Olomuc., Fac. rer. nat., Mathematica 41 (2002), 119-129.
PDF
I. Rachůnková, M. Tvrdý: Impulsive periodic boundary value
problem and topological degree. Functional Differential Equations
No. 3-4, 9 (2002), 471-498. PDF
2001
I. Rachůnková: On the existence of more positive solutions of
periodic BVPs with singularity, Applicable Analysis 79 (2001),
257-275. PDF
J. Draessler, I. Rachůnková: On three solutions of the second
order periodic boundary value problem, Nonlinear Oscillations 4
(2001), 471-486. PDF
I. Rachůnková, M. Tvrdý: Nonlinear systems of differential
inequalities and solvability of certain nonlinear second order boundary
value problems, Journal Inequal. Appl. 6 (2001), 199-226.
PDF
I. Rachůnková, M. Tvrdý: Construction of lower and upper
functions and their application to regular and singular periodic
boundary value problems, Nonlinear Anal. TMA 47 (2001), 6,
3937-3948. PDF
I. Rachůnková, M. Tvrdý, I. Vrkoč: Existence of nonnegative and
nonpositive solutions for second order periodic boundary value
problems, Journal Diff. Equations 176 (2001), 445-469.
PDF
2000
I. Rachůnková: Upper and lower solutions and multiplicity
results, Journal Math. Anal. Appl. 246 (2000), 449-464.
PDF
I. Rachůnková: Existence of two positive solutions of a singular
nonlinear periodic boundary value problem, Journal Comp. Appl.
Math. 113 (2000), 27-34. PDF
I. Rachůnková, M. Tvrdý: Method of lower and upper functions and
the existence of solutions to singular periodic problems for second
order nonlinear differential equations, Math. Notes Miskolc 2
(2000), 135-143. PDF
1999
I. Rachůnková: Upper and lower solutions and topological
degree, Journal Math. Anal. Appl. 234 (1999), 311-327.
PDF
I. Rachůnková: On four-point boundary value problems without
growth conditions, Czechoslovak Math. Journal 49 (1999), 241-248.
1998
I. Rachůnková: Topological degree methods in functional boundary
value problems, Univ. Jagell. Acta Math. 36 (1998), 237-238.
I. Rachůnková: Topological degree, lower and upper solutions and
multiplicity for functional boundary value problems, Functional
Diff. Eqns 5 (1998), 403-423.
1997
I. Rachůnková: Upper and lower solutions satisfying the inverse
inequality, Ann. Pol. Math. 65 (1997), 235-244.
I. Rachůnková: Multiple solutions of nonlinear boundary value
problems and topological degree, Proc. EQUADIFF 9 Brno (1997),
147-158.
1996
I. Rachůnková, S. Staněk: Topological degree methods in
functional boundary value problems, Nonlinear Anal. TMA 27 (1996),
153-166. PDF
I. Rachůnková, S. Staněk: Topological degree methods in
functional boundary value problems at resonance, Nonlinear Anal.
TMA 27 (1996), 271-285. PDF
I. Rachůnková: Topological degree methods in BVPs with nonlinear
conditions, Ann. Math. Silesian. 11 (1996), 103-110.
1995
I. Rachůnková: On the existence of two solutions of the
four-point problem, Journal Math. Anal. Appl. 193 (1995), 245-254.
1994
I. Rachůnková: On the existence of two solutions of the periodic
problem for the ordinary differential equation, Nonlinear Anal. TMA
22 (1994), 1315-1322.
I. Rachůnková: Sign conditions in nonlinear boundary value
problems, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica
114 (1994), 117-124. PDF
I. Rachůnková: Boundary value problems with nonlinear
conditions, Acta Math. Inf. Univ. Ostrav. 2 (1994), 71-77.
PDF
1993
I. Rachůnková: On the number of solutions of the Neumann problem
for the ordinary second order differential equation, Ann. Math.
Silesian. 7 (1993), 79-87.
1992
I. Rachůnková: Multiplicity results for four-point boundary
value problems, Nonlinear Anal. TMA 18 (1992), 497-505.
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I. Rachůnková: On a certain four-point problem, Radovi
Matem. 8 (1992), 81-93.
I. Rachůnková: On some three-point problems for third-order
differential equations, Math. Bohemica 117 (1992), 98-110.
I. Rachůnková: On a transmission problem, Acta Univ.
Palacki. Olomuc., Fac. rer. nat., Mathematica 105 (1992), 45-59.
1991
I. Rachůnková: Multipoint boundary value problems at
resonance, Fasc. Math. 23 (1991), 97-102.
I. Rachůnková: Periodic boundary value problems for third order
differential equations, Math. Slovaca 41 (1991), 241-248.
I. Rachůnková: An existence theorem of the Leray-Schauder type
for four-point boundary value problems, Acta Univ. Palacki.
Olomuc., Fac. rer. nat., Mathematica 100 (1991), 49-59.
1990
I. Rachůnková: On Kneser problem for differential equations of
the 3rd order, Časopis pro pěst. mat. 115 (1990), 18-27.
I. Rachůnková: Nonnegative nonincreasing solutions of
differential equations of the 3rd order, Czechoslovak Math. Journal
40 (1990), 213- 221.
I. Rachůnková: 2n-point problems for differential equations of
the n-th order, Journal Math. Anal. Appl. 145 (1990), 100-111.
I. Rachůnková: Periodic boundary value problems for second order
differential equations, Acta Univ. Palacki. Olomuc., Fac. rer.
nat., Mathematica 97 (1990), 83-91.
1989
I. Rachůnková: Existence and uniqueness of solutions of
(n+1)-point value problems for differential equations of the n-th
order, Ann. Mat. Pura Appl. 155 (1989), 285-298.
I. Rachůnková: The first kind periodic solutions of differential
equations of the second order, Math. Slovaca 39 (1989), 407-415.
I. Rachůnková: On a certain three-point boundary value
problem, Math. Slovaca 39 (1989), 417-426.
I. Rachůnková: A four-point problem for differential equations
of the second order, Arch. Math. (Brno) 25 (1989), 175-184.
I. Rachůnková: Existence and uniqueness of solutions of
four-point boundary value problems for 2nd order differential
equations, Czechoslovak Math. Journal 39 (1989), 692-700.
I. Rachůnková: On certain multipoint boundary value
problems, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica
94 (1989), 43-60.
I. Rachůnková: Multipoint boundary value problems at
resonance, Proc. EQUADIFF 7 Praha 1989.
1988
I. Rachůnková: On a nonlinear problem for third order
differential equations, Acta Univ. Palacki. Olomuc., Fac. rer.
nat., Mathematica 91 (1988), 225-249.
I. Rachůnková: On (n+1)-point boundary value problem for
differential equations of the n-th order, (in Russian), Trudy IPM
Tbilisi 31 (1988), 159-178.
I. Rachůnková: Multipoint boundary value problems for
differential equations of the second order, 10-th Summer School on
Differential Equations, Poprad (1988), 107-123.
1974 - 1984
I. Rachůnková: On the theory of phases of Academician O.
Borůvka, Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica
45 (1974), 63-75.
I. Rachůnková: On algebraic properties of dispersions of the 3rd
and 4th kind of differential equation y´´ = q(t)y, Časopis pro
pěst. mat. 100 (1975), 15-25.
I. Rachůnková: On a coincindence of central dispersions of the
first and second kind in connection with periodic solutions of the
differential equation y´´ = q(t)y, Arch. Math. (Brno) 4 (1975),
205-216.
I. Rachůnková: Algebraic properties of phases of the
differential equation y´´ = q(t)y, Acta Univ. Palacki. Olomuc.,
Fac. rer. nat., Mathematica 57 (1978), 69-76.
I. Kiguradze, I. Rachůnková: On the solvability of a nonlinear
problem of the Kneser type, (in Russian), Diff. Uravn. 15 (1979),
1754-1765.
I. Rachůnková: On the Kneser problem for systems of ordinary
differential equations, (in Russian), Soob. Acad. Nauk GSSR 94
(1979), 545-548.
I. Kiguradze, I. Rachůnková: On a certain non-linear problem for
two-dimensional differential systems, Arch. Math. (Brno) 16 (1980),
15-38.
I. Rachůnková: On a Kneser problem for a system of nonlinear
ordinary differential equations, Czechoslovak Math. Journal 31
(1981), 114-126.
I. Rachůnková: On one nonlinear boundary value problem for
differential systems of the n-th order, (in Russian), Czechoslovak
Math. Journal 34 (1984), 285-297.