# zbMATH — the first resource for mathematics

## Rachůnková, Irena

Compute Distance To:
 Author ID: rachunkova.irena Published as: Rachunkova, Irena; Rachunková, I.; Rachunková, Irena; Rachůnková, I.; Rachůnková, Irena
 Documents Indexed: 136 Publications since 1974, including 2 Books Reviewing Activity: 266 Reviews
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#### Co-Authors

 45 single-authored 24 Tomeček, Jan 20 Staněk, Svatoslav 18 Tvrdý, Milan 15 Rachůnek, Lukáš 13 Weinmüller, Ewa B. 8 Burkotová, Jana 6 Stryja, Jakub 3 Rontó, Miklós 3 Tisdell, Christopher C. 2 Agarwal, Ravi P. 2 Polášek, Vladimír 2 Pulverer, Gernot 2 Ronto, Andrei 2 Spielauer, Alexander 2 Vrkoč, Ivo 2 Zenz, Michael 1 Anderson, Douglas Robert 1 Astashova, Irina Viktorovna 1 Auzinger, Winfried 1 Domoshnitsky, Alexander I. 1 Došlá, Zuzana 1 Draessler, Jan 1 Evtukhov, Vyacheslav Mikhaĭlovich 1 Feichtinger, Anna 1 Gschwindl, Jürgen 1 Hubner, Michael 1 Izobov, Nikolaĭ Alekseevich 1 Kiguradze, Ivan Tarielovich 1 Koch, Othmar 1 Kusano, Takaŝi 1 Lomtatidze, Aleksandre 1 O’Regan, Donal 1 Partsvania, Nino 1 Perestyuk, Mykola Oleksiĭovych 1 Půža, Bedřich 1 Rohleder, Martin 1 Rozov, Nikolaĭ Khristovich 1 Wenin, Victor 1 Wurm, Stefan
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#### Serials

 12 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 11 Boundary Value Problems 9 Journal of Mathematical Analysis and Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Mathematica Bohemica 6 Electronic Journal of Qualitative Theory of Differential Equations 5 Czechoslovak Mathematical Journal 5 Georgian Mathematical Journal 4 Journal of Difference Equations and Applications 4 Nonlinear Analysis. Theory, Methods & Applications 3 Computers & Mathematics with Applications 3 Archivum Mathematicum 3 Mathematica Slovaca 3 Applied Numerical Mathematics 3 Functional Differential Equations 3 Abstract and Applied Analysis 2 Applied Mathematics and Computation 2 Časopis Pro Pěstování Matematiky 2 Journal of Differential Equations 2 Prace Naukowe Uniwersytetu Śląskiego w Katowicach. Annales Mathematicae Silesianae 2 Mathematical and Computer Modelling 2 Electronic Journal of Differential Equations (EJDE) 2 Mathematical Notes (Miskolc) 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Central European Journal of Mathematics 2 Advances in Difference Equations 1 Applicable Analysis 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 BIT 1 Fasciculi Mathematici 1 Journal of Computational and Applied Mathematics 1 Radovi Matematički 1 Applications of Mathematics 1 Topological Methods in Nonlinear Analysis 1 Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica 1 Memoirs on Differential Equations and Mathematical Physics 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Journal of Inequalities and Applications 1 Nonlinear Analysis. Real World Applications 1 Trudy Instituta Prikladnoĭ Matematiki Imeni I. N. Vekua 1 Nonlinear Oscillations 1 Archives of Inequalities and Applications 1 Fixed Point Theory 1 The Australian Journal of Mathematical Analysis and Applications 1 Nonlinear Oscillations 1 Contemporary Mathematics and Its Applications 1 Atlantis Briefs in Differential Equations
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#### Fields

 130 Ordinary differential equations (34-XX) 13 Operator theory (47-XX) 11 Difference and functional equations (39-XX) 6 Numerical analysis (65-XX) 4 Mechanics of deformable solids (74-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

103 Publications have been cited 630 times in 398 Documents Cited by Year
Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems. Zbl 1004.34008
Rachůnková, Irena; Tvrdý, Milan; Vrkoč, Ivo
2001
Existence results for impulsive second-order periodic problems. Zbl 1084.34031
Rachůnková, Irena; Tvrdý, Milan
2004
Existence of non-spurious solutions to discrete Dirichlet problems with lower and upper solutions. Zbl 1130.39017
Rachůnková, Irena; Tisdell, Christopher C.
2007
Non-ordered lower and upper functions in second order impulsive periodic problems. Zbl 1086.34026
Rachůnková, I.; Tvrdý, M.
2005
Upper and lower solutions and topological degree. Zbl 1086.34017
Rachůnková, Irena
1999
Impulsive BVPs with nonlinear boundary conditions for the second order differential equations without growth restrictions. Zbl 1058.34031
Rachůnková, Irena; Tomeček, Jan
2004
Topological degree method in functional boundary value problems at resonance. Zbl 0853.34062
Rachůnková, Irena; Staněk, Svatoslav
1996
Multiplicity results for four-point boundary value problems. Zbl 0756.34026
Rachůnková, Irena
1992
Solvability of nonlinear singular problems for ordinary differential equations. Zbl 1228.34003
Rachůnková, Irena; Staněk, Svatoslav; Tvrdý, Milan
2008
On a singular boundary value problem arising in the theory of shallow membrane caps. Zbl 1118.34013
Rachunková, Irena; Koch, Othmar; Pulverer, Gernot; Weinmüller, Ewa
2007
Solvability of discrete Neumann boundary value problems. Zbl 1120.39014
Anderson, D. R.; Rachůnková, I.; Tisdell, C. C.
2007
Upper and lower solutions and multiplicity results. Zbl 0961.34004
Rachůnková, Irena
2000
Singular Dirichlet second-order BVPs with impulses. Zbl 1039.34015
Rachůnková, Irena
2003
Bubble-type solutions of nonlinear singular problems. Zbl 1190.34029
Rachůnková, Irena; Tomeček, Jan
2010
Impulsive periodic boundary value problem and topological degree. Zbl 1048.34061
Rachůnková, Irena; Tvrdý, Milan
2002
A new approach to BVPs with state-dependent impulses. Zbl 1287.34019
Rachůnková, Irena; Tomeček, Jan
2013
A unified approach to singular problems arising in the membrane theory. Zbl 1224.34072
Rachůnková, Irena; Pulverer, Gernot; Weinmüller, Ewa B.
2010
Strictly increasing solutions of a nonlinear singular differential equation arising in hydrodynamics. Zbl 1186.34014
Rachůnková, Irena; Tomeček, Jan
2010
A four-point problem for differential equations of the second order. Zbl 0715.34033
Rachůnková, Irena
1989
Homoclinic solutions of singular nonautonomous second-order differential equations. Zbl 1190.34028
Rachůnková, Irena; Tomeček, Jan
2009
Two-point higher-order BVPs with singularities in phase variables. Zbl 1057.34005
Agarwal, R. P.; O’Regan, D.; Rachůnková, I.; Staňek, S.
2003
Existence of two positive solutions of a singular nonlinear periodic boundary value problem. Zbl 0944.34014
Rachůnková, Irena
2000
Existence and uniqueness of solutions of four-point boundary value problems for 2nd order differential equations. Zbl 0695.34016
Rachůnková, Irena
1989
Existence principle for BVPS with state-dependent impulses. Zbl 1360.34060
Rachůnková, Irena; Tomeček, Jan
2014
Second order BVPs with state dependent impulses via lower and upper functions. Zbl 1302.34049
Rachůnková, Irena; Tomeček, Jan
2014
Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics. Zbl 1207.39002
Rachůnek, Lukáš; Rachůnková, Irena
2011
Singular discrete and continuous mixed boundary value problems. Zbl 1173.34010
Rachůnková, Irena; Rachůnek, Lukáš
2009
Existence of non-spurious solutions to discrete boundary value problems. Zbl 1166.39009
Rachůnková, Irena; Tisdell, Christopher C.
2006
Singular discrete second order BVPs with $$p$$-Laplacian. Zbl 1106.39021
Rachůnková, Irena; Rachůnek, Lukáš
2006
Periodic problems with $$\phi$$-Laplacian involving non-ordered lower and upper functions. Zbl 1069.34025
Rachůnková, Irena; Tvrdý, Milan
2005
A singular boundary value problem for odd-order differential equations. Zbl 1056.34032
Rachůnková, Irena; Staněk, Svatoslav
2004
On some three-point problems for third-order differential equations. Zbl 0759.34020
Rachůnková, Irena
1992
State-dependent impulses. Boundary value problems on compact interval. Zbl 1341.34001
Rachůnková, Irena; Tomeček, Jan
2015
Singular discrete problem arising in the theory of shallow membrane caps. Zbl 1158.39012
Rachůnková, Irena; Rachůnek, Lukáš
2008
Solvability of discrete Dirichlet problem via lower and upper functions method. Zbl 1131.39017
Rachůnková, Irena; Rachůnek, Lukáš
2007
Singular Dirichlet problem for ordinary differential equation with impulses. Zbl 1101.34015
Rachůnková, Irena; Tomeček, Jan
2006
Nonlinear systems of differential inequalities and solvability of certain boundary value problems. Zbl 1039.34013
Rachůnková, Irena; Tvrdý, Milan
2001
On four-point boundary value problem without growth conditions. Zbl 0955.34008
Rachůnková, Irena
1999
On the existence of two solutions of the four-point problem. Zbl 0835.34026
Rachůnková, Irena
1995
Periodic boundary value problems for third order differential equations. Zbl 0753.34013
Rachůnková, Irena
1991
Existence of oscillatory solutions of singular nonlinear differential equations. Zbl 1222.34035
Rachůnková, Irena; Rachůnek, Lukáš; Tomeček, Jan
2011
Neumann problems with time singularities. Zbl 1201.34038
Rachůnková, Irena; Staněk, Svatoslav; Weinmüller, Ewa; Zenz, Michael
2010
Topological degree method in functional boundary value problems. Zbl 0856.34075
Rachůnková, Irena; Staněk, Svatoslav
1996
An existence theorem of the Leray-Schauder type for four-point boundary value problems. Zbl 0752.34016
Rachůnková, Irena
1991
The first kind periodic solutions of differential equations of the second order. Zbl 0753.34028
Rachůnková, Irena
1989
A constructive approach to boundary value problems with state-dependent impulses. Zbl 1410.34078
Rachunková, Irena; Rachunek, Lukáš; Rontó, András; Rontó, Miklós
2016
Oscillatory solutions of singular equations arising in hydrodynamics. Zbl 1203.34058
Rachůnková, Irena; Tomeček, Jan; Stryja, Jakub
2010
Strictly increasing solutions of nonautonomous difference equations arising in hydrodynamics. Zbl 1187.39001
Rachůnek, Lukáš; Rachůnková, Irena
2010
Periodic singular problem with quasilinear differential operator. Zbl 1114.34018
Rachůnková, Irena; Tvrdý, Milan
2006
Second-order periodic problem with $$\varphi$$-Laplacian and impulses. Zbl 1159.34319
Rachůnková, Irena; Tvrdý, Milan
2005
General existence principle for singular BVPs and its application. Zbl 1059.34016
Rachůnková, Irena; Staněk, Svatoslav
2004
A transmission problem. Zbl 0807.34018
Rachůnková, Irena
1992
Periodic boundary value problems for second order differential equations. Zbl 0752.34021
Rachůnková, Irena
1990
On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity. Zbl 1316.34025
Burkotová, Jana; Rachůnková, Irena; Staněk, Svatoslav; Weinmüller, Ewa B.
2014
Existence principle for higher-order nonlinear differential equations with state-dependent impulses via fixed point theorem. Zbl 1306.34043
Rachůnková, Irena; Tomeček, Jan
2014
First-order nonlinear differential equations with state-dependent impulses. Zbl 1297.34037
Rachůnek, Lukáš; Rachůnková, Irena
2013
Periodic BVPs in ODEs with time singularities. Zbl 1231.34072
Feichtinger, Anna; Rachůnková, Irena; Staněk, Svatoslav; Weinmüller, Ewa
2011
Asymptotic formula for oscillatory solutions of some singular nonlinear differential equation. Zbl 1222.34034
Rachůnková, Irena; Rachůnek, Lukáš
2011
Approximation of differential problems with singularities and time discontinuities. Zbl 1238.34042
Rachůnek, Lukáš; Rachůnková, Irena
2009
Limit properties of solutions of singular second-order differential equations. Zbl 1189.34048
Rachůnková, Irena; Staněk, Svatoslav; Weinmüller, Ewa; Zenz, Michael
2009
Singular Dirichlet boundary value problem for second order ODE. Zbl 1135.34009
Rachůnková, Irena; Stryja, Jakub
2007
Singular mixed boundary value problem. Zbl 1103.34009
Rachůnková, Irena
2006
Nonmonotone impulse effects in second-order periodic boundary value problems. Zbl 1078.34013
Rachůnková, Irena; Tvrdý, Milan
2004
Connections between types of singularities in differential equations and smoothness of solutions for Dirichlet BVPs. Zbl 1043.34022
Rachůnková, Irena; Staněk, Svatoslav
2003
Construction of lower and upper functions and their application to regular and singular periodic boundary value problems. Zbl 1042.34524
Rachůnková, Irena; Tvrdý, Milan
2001
Duality for nonconvex variational problems and differential equations [On a certain four-point problem]. Zbl 0957.34018
Rachůnková, Irena
1996
Sign conditions in nonlinear boundary value problems. Zbl 0845.34036
Rachůnková, Irena
1994
On the existence of two solutions of the periodic problem for the ordinary second-order differential equation. Zbl 0808.34023
Rachůnková, Irena
1994
On a Kneser problem for a system of nonlinear ordinary differential equations. Zbl 0478.34006
Rachůnková, Irena
1981
On a certain nonlinear problem for two-dimensional differential systems. Zbl 0465.34004
1980
On singular BVPs with nonsmooth data: analysis of the linear case with variable coefficient matrix. Zbl 1357.65098
Burkotová, Jana; Rachunková, Irena; Weinmüller, Ewa B.
2017
Fixed point problem associated with state-dependent impulsive boundary value problems. Zbl 1307.34057
Rachůnková, Irena; Tomeček, Jan
2014
Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities. Zbl 1284.34036
Rachůnková, Irena; Spielauer, Alexander; Staněk, Svatoslav; Weinmüller, Ewa B.
2013
Properties of the set of positive solutions to Dirichlet boundary value problems with time singularities. Zbl 1271.34027
Rachunková, Irena; Staněk, Svatoslav
2013
Singular problems on the half-line. Zbl 1209.34037
Rachůnková, Irena; Tomeček, Jan
2009
Strong singularities in mixed boundary value problems. Zbl 1114.34020
Rachůnková, Irena
2006
On nonlinear boundary value problem for systems of differential equations with impulses. Zbl 1069.34043
Rachůnková, Irena; Tomeček, Jan
2002
On nonlinear boundary value problems with impulses. Zbl 1017.34007
Rachůnková, Irena; Tomeček, Jan
2002
On an $$n+1$$-point problem for an $$n$$th order differential equation. Zbl 0735.34018
Rachůnková, I.
1988
On algebraic properties of dispersions of the 3rd and 4th kind of the differential equation $$y'' = q(t)y$$. Zbl 0302.34041
Rachůnková, Irena
1975
Distributional van der Pol equation with state-dependent impulses. Zbl 1401.34024
Rachunková, Irena; Tomeček, Jan
2018
Shooting methods for state-dependent impulsive boundary value problems, with applications. Zbl 1397.65108
Auzinger, Winfried; Burkotová, Jana; Rachůnková, Irena; Wenin, Victor
2018
On singular BVPs with nonsmooth data: convergence of the collocation schemes. Zbl 1421.65021
Burkotová, Jana; Rachunková, Irena; Weinmüller, Ewa B.
2017
Investigation of solutions of state-dependent multi-impulsive boundary value problems. Zbl 1367.34027
Rontó, András; Rachůnková, Irena; Rontó, Miklós; Rachůnek, Lukáš
2017
Impulsive system of ODEs with general linear boundary conditions. Zbl 1340.34118
Rachunkova, Irena; Tomecek, Jan
2013
On a homoclinic point of an autonomous second-order difference equation. Zbl 1226.39001
Rachůnek, Lukáš; Rachůnková, Irena
2011
Superlinear singular problems on the half line. Zbl 1213.34053
Rachůnková, Irena; Tomeček, Jan
2010
Dirichlet problem with $$\phi$$-Laplacian and mixed singularities. Zbl 1282.34029
Rachůnková, I.; Stryja, J.
2008
Singular periodic problem for nonlinear ordinary differential equations with $$\phi$$-Laplacian. Zbl 1098.34014
2006
Singular Dirichlet problem for ordinary differential equations with $$\phi$$-Laplacian. Zbl 1114.34017
2005
Method of lower and upper functions in impulsive periodic boundary value problems. Zbl 1106.34310
Rachůnková, I.; Tvrdý, M.
2005
Sturm-Liouville and focal higher order BVPs with singularities in phase variables. Zbl 1069.34029
Rachůnková, Irena; Staněk, Svatoslav
2003
Sign-changing solutions of singular Dirichlet boundary value problems. Zbl 1039.34016
Rachůnková, Irena; Staněk, Svatoslav
2003
On three solutions of a second-order periodic boundary value problem. Zbl 1049.34019
Draessler, J.; Rachunková, I.
2001
On the existence of more positive solutions of periodic BVPs with singularity. Zbl 1033.34032
Rachůnková, Irena
2001
Upper and lower solutions satisfying the inverse inequality. Zbl 0868.34014
Rachůnková, Irena
1997
Boundary value problems with nonlinear conditions. Zbl 0854.34025
Rachůnková, Irena
1994
On the number of solutions of the Neumann problem for the ordinary second order differential equation. Zbl 0804.34018
Rachůnková, Irena
1993
Multipoint boundary value problems at resonance. Zbl 0749.34011
Rachůnková, Irena
1991
Nonnegative nonincreasing solutions of differential equations of the 3rd order. Zbl 0721.34031
Rachůnková, Irena
1990
Distributional van der Pol equation with state-dependent impulses. Zbl 1401.34024
Rachunková, Irena; Tomeček, Jan
2018
Shooting methods for state-dependent impulsive boundary value problems, with applications. Zbl 1397.65108
Auzinger, Winfried; Burkotová, Jana; Rachůnková, Irena; Wenin, Victor
2018
On singular BVPs with nonsmooth data: analysis of the linear case with variable coefficient matrix. Zbl 1357.65098
Burkotová, Jana; Rachunková, Irena; Weinmüller, Ewa B.
2017
On singular BVPs with nonsmooth data: convergence of the collocation schemes. Zbl 1421.65021
Burkotová, Jana; Rachunková, Irena; Weinmüller, Ewa B.
2017
Investigation of solutions of state-dependent multi-impulsive boundary value problems. Zbl 1367.34027
Rontó, András; Rachůnková, Irena; Rontó, Miklós; Rachůnek, Lukáš
2017
A constructive approach to boundary value problems with state-dependent impulses. Zbl 1410.34078
Rachunková, Irena; Rachunek, Lukáš; Rontó, András; Rontó, Miklós
2016
State-dependent impulses. Boundary value problems on compact interval. Zbl 1341.34001
Rachůnková, Irena; Tomeček, Jan
2015
Existence principle for BVPS with state-dependent impulses. Zbl 1360.34060
Rachůnková, Irena; Tomeček, Jan
2014
Second order BVPs with state dependent impulses via lower and upper functions. Zbl 1302.34049
Rachůnková, Irena; Tomeček, Jan
2014
On linear ODEs with a time singularity of the first kind and unsmooth inhomogeneity. Zbl 1316.34025
Burkotová, Jana; Rachůnková, Irena; Staněk, Svatoslav; Weinmüller, Ewa B.
2014
Existence principle for higher-order nonlinear differential equations with state-dependent impulses via fixed point theorem. Zbl 1306.34043
Rachůnková, Irena; Tomeček, Jan
2014
Fixed point problem associated with state-dependent impulsive boundary value problems. Zbl 1307.34057
Rachůnková, Irena; Tomeček, Jan
2014
A new approach to BVPs with state-dependent impulses. Zbl 1287.34019
Rachůnková, Irena; Tomeček, Jan
2013
First-order nonlinear differential equations with state-dependent impulses. Zbl 1297.34037
Rachůnek, Lukáš; Rachůnková, Irena
2013
Positive solutions of nonlinear Dirichlet BVPs in ODEs with time and space singularities. Zbl 1284.34036
Rachůnková, Irena; Spielauer, Alexander; Staněk, Svatoslav; Weinmüller, Ewa B.
2013
Properties of the set of positive solutions to Dirichlet boundary value problems with time singularities. Zbl 1271.34027
Rachunková, Irena; Staněk, Svatoslav
2013
Impulsive system of ODEs with general linear boundary conditions. Zbl 1340.34118
Rachunkova, Irena; Tomecek, Jan
2013
Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics. Zbl 1207.39002
Rachůnek, Lukáš; Rachůnková, Irena
2011
Existence of oscillatory solutions of singular nonlinear differential equations. Zbl 1222.34035
Rachůnková, Irena; Rachůnek, Lukáš; Tomeček, Jan
2011
Periodic BVPs in ODEs with time singularities. Zbl 1231.34072
Feichtinger, Anna; Rachůnková, Irena; Staněk, Svatoslav; Weinmüller, Ewa
2011
Asymptotic formula for oscillatory solutions of some singular nonlinear differential equation. Zbl 1222.34034
Rachůnková, Irena; Rachůnek, Lukáš
2011
On a homoclinic point of an autonomous second-order difference equation. Zbl 1226.39001
Rachůnek, Lukáš; Rachůnková, Irena
2011
Bubble-type solutions of nonlinear singular problems. Zbl 1190.34029
Rachůnková, Irena; Tomeček, Jan
2010
A unified approach to singular problems arising in the membrane theory. Zbl 1224.34072
Rachůnková, Irena; Pulverer, Gernot; Weinmüller, Ewa B.
2010
Strictly increasing solutions of a nonlinear singular differential equation arising in hydrodynamics. Zbl 1186.34014
Rachůnková, Irena; Tomeček, Jan
2010
Neumann problems with time singularities. Zbl 1201.34038
Rachůnková, Irena; Staněk, Svatoslav; Weinmüller, Ewa; Zenz, Michael
2010
Oscillatory solutions of singular equations arising in hydrodynamics. Zbl 1203.34058
Rachůnková, Irena; Tomeček, Jan; Stryja, Jakub
2010
Strictly increasing solutions of nonautonomous difference equations arising in hydrodynamics. Zbl 1187.39001
Rachůnek, Lukáš; Rachůnková, Irena
2010
Superlinear singular problems on the half line. Zbl 1213.34053
Rachůnková, Irena; Tomeček, Jan
2010
Homoclinic solutions of singular nonautonomous second-order differential equations. Zbl 1190.34028
Rachůnková, Irena; Tomeček, Jan
2009
Singular discrete and continuous mixed boundary value problems. Zbl 1173.34010
Rachůnková, Irena; Rachůnek, Lukáš
2009
Approximation of differential problems with singularities and time discontinuities. Zbl 1238.34042
Rachůnek, Lukáš; Rachůnková, Irena
2009
Limit properties of solutions of singular second-order differential equations. Zbl 1189.34048
Rachůnková, Irena; Staněk, Svatoslav; Weinmüller, Ewa; Zenz, Michael
2009
Singular problems on the half-line. Zbl 1209.34037
Rachůnková, Irena; Tomeček, Jan
2009
Solvability of nonlinear singular problems for ordinary differential equations. Zbl 1228.34003
Rachůnková, Irena; Staněk, Svatoslav; Tvrdý, Milan
2008
Singular discrete problem arising in the theory of shallow membrane caps. Zbl 1158.39012
Rachůnková, Irena; Rachůnek, Lukáš
2008
Dirichlet problem with $$\phi$$-Laplacian and mixed singularities. Zbl 1282.34029
Rachůnková, I.; Stryja, J.
2008
Existence of non-spurious solutions to discrete Dirichlet problems with lower and upper solutions. Zbl 1130.39017
Rachůnková, Irena; Tisdell, Christopher C.
2007
On a singular boundary value problem arising in the theory of shallow membrane caps. Zbl 1118.34013
Rachunková, Irena; Koch, Othmar; Pulverer, Gernot; Weinmüller, Ewa
2007
Solvability of discrete Neumann boundary value problems. Zbl 1120.39014
Anderson, D. R.; Rachůnková, I.; Tisdell, C. C.
2007
Solvability of discrete Dirichlet problem via lower and upper functions method. Zbl 1131.39017
Rachůnková, Irena; Rachůnek, Lukáš
2007
Singular Dirichlet boundary value problem for second order ODE. Zbl 1135.34009
Rachůnková, Irena; Stryja, Jakub
2007
Existence of non-spurious solutions to discrete boundary value problems. Zbl 1166.39009
Rachůnková, Irena; Tisdell, Christopher C.
2006
Singular discrete second order BVPs with $$p$$-Laplacian. Zbl 1106.39021
Rachůnková, Irena; Rachůnek, Lukáš
2006
Singular Dirichlet problem for ordinary differential equation with impulses. Zbl 1101.34015
Rachůnková, Irena; Tomeček, Jan
2006
Periodic singular problem with quasilinear differential operator. Zbl 1114.34018
Rachůnková, Irena; Tvrdý, Milan
2006
Singular mixed boundary value problem. Zbl 1103.34009
Rachůnková, Irena
2006
Strong singularities in mixed boundary value problems. Zbl 1114.34020
Rachůnková, Irena
2006
Singular periodic problem for nonlinear ordinary differential equations with $$\phi$$-Laplacian. Zbl 1098.34014
2006
Non-ordered lower and upper functions in second order impulsive periodic problems. Zbl 1086.34026
Rachůnková, I.; Tvrdý, M.
2005
Periodic problems with $$\phi$$-Laplacian involving non-ordered lower and upper functions. Zbl 1069.34025
Rachůnková, Irena; Tvrdý, Milan
2005
Second-order periodic problem with $$\varphi$$-Laplacian and impulses. Zbl 1159.34319
Rachůnková, Irena; Tvrdý, Milan
2005
Singular Dirichlet problem for ordinary differential equations with $$\phi$$-Laplacian. Zbl 1114.34017
2005
Method of lower and upper functions in impulsive periodic boundary value problems. Zbl 1106.34310
Rachůnková, I.; Tvrdý, M.
2005
Existence results for impulsive second-order periodic problems. Zbl 1084.34031
Rachůnková, Irena; Tvrdý, Milan
2004
Impulsive BVPs with nonlinear boundary conditions for the second order differential equations without growth restrictions. Zbl 1058.34031
Rachůnková, Irena; Tomeček, Jan
2004
A singular boundary value problem for odd-order differential equations. Zbl 1056.34032
Rachůnková, Irena; Staněk, Svatoslav
2004
General existence principle for singular BVPs and its application. Zbl 1059.34016
Rachůnková, Irena; Staněk, Svatoslav
2004
Nonmonotone impulse effects in second-order periodic boundary value problems. Zbl 1078.34013
Rachůnková, Irena; Tvrdý, Milan
2004
Singular Dirichlet second-order BVPs with impulses. Zbl 1039.34015
Rachůnková, Irena
2003
Two-point higher-order BVPs with singularities in phase variables. Zbl 1057.34005
Agarwal, R. P.; O’Regan, D.; Rachůnková, I.; Staňek, S.
2003
Connections between types of singularities in differential equations and smoothness of solutions for Dirichlet BVPs. Zbl 1043.34022
Rachůnková, Irena; Staněk, Svatoslav
2003
Sturm-Liouville and focal higher order BVPs with singularities in phase variables. Zbl 1069.34029
Rachůnková, Irena; Staněk, Svatoslav
2003
Sign-changing solutions of singular Dirichlet boundary value problems. Zbl 1039.34016
Rachůnková, Irena; Staněk, Svatoslav
2003
Impulsive periodic boundary value problem and topological degree. Zbl 1048.34061
Rachůnková, Irena; Tvrdý, Milan
2002
On nonlinear boundary value problem for systems of differential equations with impulses. Zbl 1069.34043
Rachůnková, Irena; Tomeček, Jan
2002
On nonlinear boundary value problems with impulses. Zbl 1017.34007
Rachůnková, Irena; Tomeček, Jan
2002
Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems. Zbl 1004.34008
Rachůnková, Irena; Tvrdý, Milan; Vrkoč, Ivo
2001
Nonlinear systems of differential inequalities and solvability of certain boundary value problems. Zbl 1039.34013
Rachůnková, Irena; Tvrdý, Milan
2001
Construction of lower and upper functions and their application to regular and singular periodic boundary value problems. Zbl 1042.34524
Rachůnková, Irena; Tvrdý, Milan
2001
On three solutions of a second-order periodic boundary value problem. Zbl 1049.34019
Draessler, J.; Rachunková, I.
2001
On the existence of more positive solutions of periodic BVPs with singularity. Zbl 1033.34032
Rachůnková, Irena
2001
Upper and lower solutions and multiplicity results. Zbl 0961.34004
Rachůnková, Irena
2000
Existence of two positive solutions of a singular nonlinear periodic boundary value problem. Zbl 0944.34014
Rachůnková, Irena
2000
Upper and lower solutions and topological degree. Zbl 1086.34017
Rachůnková, Irena
1999
On four-point boundary value problem without growth conditions. Zbl 0955.34008
Rachůnková, Irena
1999
Upper and lower solutions satisfying the inverse inequality. Zbl 0868.34014
Rachůnková, Irena
1997
Topological degree method in functional boundary value problems at resonance. Zbl 0853.34062
Rachůnková, Irena; Staněk, Svatoslav
1996
Topological degree method in functional boundary value problems. Zbl 0856.34075
Rachůnková, Irena; Staněk, Svatoslav
1996
Duality for nonconvex variational problems and differential equations [On a certain four-point problem]. Zbl 0957.34018
Rachůnková, Irena
1996
On the existence of two solutions of the four-point problem. Zbl 0835.34026
Rachůnková, Irena
1995
Sign conditions in nonlinear boundary value problems. Zbl 0845.34036
Rachůnková, Irena
1994
On the existence of two solutions of the periodic problem for the ordinary second-order differential equation. Zbl 0808.34023
Rachůnková, Irena
1994
Boundary value problems with nonlinear conditions. Zbl 0854.34025
Rachůnková, Irena
1994
On the number of solutions of the Neumann problem for the ordinary second order differential equation. Zbl 0804.34018
Rachůnková, Irena
1993
Multiplicity results for four-point boundary value problems. Zbl 0756.34026
Rachůnková, Irena
1992
On some three-point problems for third-order differential equations. Zbl 0759.34020
Rachůnková, Irena
1992
A transmission problem. Zbl 0807.34018
Rachůnková, Irena
1992
Periodic boundary value problems for third order differential equations. Zbl 0753.34013
Rachůnková, Irena
1991
An existence theorem of the Leray-Schauder type for four-point boundary value problems. Zbl 0752.34016
Rachůnková, Irena
1991
Multipoint boundary value problems at resonance. Zbl 0749.34011
Rachůnková, Irena
1991
Periodic boundary value problems for second order differential equations. Zbl 0752.34021
Rachůnková, Irena
1990
Nonnegative nonincreasing solutions of differential equations of the 3rd order. Zbl 0721.34031
Rachůnková, Irena
1990
A four-point problem for differential equations of the second order. Zbl 0715.34033
Rachůnková, Irena
1989
Existence and uniqueness of solutions of four-point boundary value problems for 2nd order differential equations. Zbl 0695.34016
Rachůnková, Irena
1989
The first kind periodic solutions of differential equations of the second order. Zbl 0753.34028
Rachůnková, Irena
1989
Existence and uniqueness of solutions of $$(n+1)$$-point value problems for differential equations of the $$n$$-th order. Zbl 0693.34010
Rachůnková, Irena
1989
On an $$n+1$$-point problem for an $$n$$th order differential equation. Zbl 0735.34018
Rachůnková, I.
1988
On a nonlinear problem for third-order differential equations. Zbl 0702.34002
Rachůnková, Irena
1988
On a Kneser problem for a system of nonlinear ordinary differential equations. Zbl 0478.34006
Rachůnková, Irena
1981
...and 3 more Documents
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#### Cited by 388 Authors

 67 Rachůnková, Irena 24 Ma, Ruyun 23 Staněk, Svatoslav 16 O’Regan, Donal 16 Tomeček, Jan 16 Weinmüller, Ewa B. 13 Chu, Jifeng 12 Rachůnek, Lukáš 11 Agarwal, Ravi P. 10 Ge, Weigao 8 Cabada, Alberto 8 Jiang, Daqing 8 Li, Shengjun 8 Torres, Pedro José 7 Liu, Yuji 7 Lu, Yanqiong 7 Pei, Minghe 6 Burkotová, Jana 6 Cheng, Zhibo 6 Gao, Chenghua 6 Ma, Huili 6 Minhós, Feliz Manuel 6 Tisdell, Christopher C. 6 Tvrdý, Milan 6 Zhang, Ziheng 5 Candito, Pasquale 5 Du, Zengji 5 Pulverer, Gernot 5 Shen, Jianhua 5 Sun, Jianping 5 Xu, Xian 4 Bereanu, Cristian 4 Chen, Guoping 4 Khan, Rahmat Ali 4 Kiguradze, Ivan Tarielovich 4 Liu, Lishan 4 Luo, Zhiguo 4 Ronto, Andrei 4 Stryja, Jakub 4 Wang, Libo 4 Wang, Weibing 4 Wong, Patricia J. Y. 4 Xie, Jingli 4 Zamora, Manuel 4 Zima, Mirosława 3 Belley, Jean-Marc 3 D’Aguì, Giuseppina 3 Fialho, João F. 3 Galewski, Marek 3 Hakl, Robert 3 Hao, Xin’an 3 Kelevedjiev, Petio S. 3 Kiguradze, Tariel I. 3 Li, Wan-Tong 3 Li, Yongxiang 3 Liao, Fangfang 3 Liu, Qihuai 3 Mawhin, Jean L. 3 Pašić, Mervan 3 Popivanov, Nedyu Iv. 3 Precup, Radu 3 Půža, Bedřich 3 Qian, Dingbian 3 Ren, Jingli 3 Rontó, Miklós 3 Thompson, Harold Bevan 3 Wang, Zaihong 3 Yao, Qingliu 3 Zhu, Hailong 2 Anderson, Douglas Robert 2 Andres, Jan 2 Bai, Dingyong 2 Bai, Liang 2 Cid, José Ángel 2 do Rosário Grossinho, Maria 2 Draessler, Jan 2 Franco, Daniel H. T. 2 Geng, Fazhan 2 Kalas, Josef 2 Koch, Othmar 2 Kong, Qingkai 2 Kumar, Jitendra 2 Kunkel, Curtis J. 2 Li, Ming 2 Li, Xiong 2 Lin, Xiaoning 2 Liu, Jinsheng 2 Liu, Yansheng 2 Livrea, Roberto 2 Luo, Huxiao 2 Mukhigulashvili, Sulkhan 2 Nieto Roig, Juan Jose 2 Özbekler, Abdullah 2 Partsvania, Nino 2 Pavlačková, Martina 2 Rodríguez-López, Jorge 2 Rodríguez-López, Rosana 2 Šenkyřík, Martin 2 Shen, Chunfang 2 Singh, Randhir ...and 288 more Authors
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#### Cited in 83 Serials

 47 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 39 Journal of Mathematical Analysis and Applications 33 Boundary Value Problems 25 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 23 Applied Mathematics and Computation 20 Advances in Difference Equations 16 Abstract and Applied Analysis 14 Computers & Mathematics with Applications 12 Journal of Differential Equations 12 Journal of Difference Equations and Applications 9 Journal of Computational and Applied Mathematics 7 Mathematical Methods in the Applied Sciences 7 Discrete Dynamics in Nature and Society 6 Mathematical and Computer Modelling 6 Nonlinear Analysis. Theory, Methods & Applications 5 Czechoslovak Mathematical Journal 5 Mathematische Nachrichten 5 Mathematica Slovaca 5 Applied Mathematics Letters 5 Journal of Fixed Point Theory and Applications 4 Bulletin of the Australian Mathematical Society 4 Acta Applicandae Mathematicae 4 Applied Numerical Mathematics 4 Journal of Applied Mathematics 4 Journal of Applied Mathematics and Computing 4 Journal of Function Spaces 3 Applications of Mathematics 3 Georgian Mathematical Journal 2 International Journal of Computer Mathematics 2 Journal of Mathematical Sciences (New York) 2 Discrete and Continuous Dynamical Systems 2 Acta Mathematica Sinica. English Series 2 Communications in Nonlinear Science and Numerical Simulation 2 Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Nonlinear Oscillations 2 International Journal of Differential Equations 2 ISRN Applied Mathematics 1 Applicable Analysis 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 BIT 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Soviet Mathematics 1 Numerical Functional Analysis and Optimization 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Facta Universitatis. Series Mathematics and Informatics 1 Numerical Algorithms 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Electronic Journal of Differential Equations (EJDE) 1 Opuscula Mathematica 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 Functional Differential Equations 1 Differential Equations and Dynamical Systems 1 Vietnam Journal of Mathematics 1 Journal of Inequalities and Applications 1 Communications in Contemporary Mathematics 1 Qualitative Theory of Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Involve 1 Tbilisi Mathematical Journal 1 Journal of Applied Analysis and Computation 1 Mathematical Sciences 1 Fractional Differential Calculus 1 International Scholarly Research Notices. Mathematical Analysis 1 International Journal of Applied and Computational Mathematics 1 Waves, Wavelets and Fractals. Advanced Analysis 1 Korean Journal of Mathematics
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#### Cited in 17 Fields

 358 Ordinary differential equations (34-XX) 100 Operator theory (47-XX) 60 Difference and functional equations (39-XX) 20 Numerical analysis (65-XX) 18 Dynamical systems and ergodic theory (37-XX) 12 Global analysis, analysis on manifolds (58-XX) 9 Partial differential equations (35-XX) 7 Integral equations (45-XX) 5 Mechanics of deformable solids (74-XX) 4 Real functions (26-XX) 3 Mechanics of particles and systems (70-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 1 Group theory and generalizations (20-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Statistics (62-XX)