Search Results - "Rachunkova, Irena"

Coexistence of bouncing and classical periodic solutions of generalized Lazer–Solimini equation by Tomeček, Jan, Rachůnková, Irena, Burkotová, Jana, Stryja, Jakub

“…The paper deals with the singular differential equation x′′+g(x)=p(t), where g has a weak singularity at x=0. Sufficient conditions for a coexistence of two…”
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On nonlinear singular BVPs with nonsmooth data. Part 2: Convergence of collocation methods by Auer, Felix Karl, Auzinger, Winfried, Burkotová, Jana, Rachůnková, Irena, Weinmüller, Ewa B.

“…We discuss numerical solution of boundary value problems for systems of nonlinear ordinary differential equations with a time…”
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Shooting methods for state-dependent impulsive boundary value problems, with applications by Auzinger, Winfried, Burkotová, Jana, Rachůnková, Irena, Wenin, Victor

“…For impulsive boundary value problems whose solutions encounter discontinuities (jumps) at a priori not known positions depending on the solution itself,…”
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Barriers in impulsive antiperiodic problems by Rachůnková, Irena, Rachůnek, Lukáš

“…Some real world models are described by means of impulse control of nonlinear BVPs, where time instants of impulse actions depend on intersection points of…”
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Antiperiodic solutions to van der Pol equations with state-dependent impulses by Irena Rachunkova, Jan Tomecek

“…In this article we give sufficient conditions for the existence of an antiperiodic solution to the van der Pol equation $$ x'(t) = y(t), \quad y'(t) = \mu…”
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A constructive approach to boundary value problems with state-dependent impulses by Rachůnková, Irena, Rachůnek, Lukáš, Rontó, András, Rontó, Miklós

“…We investigate the non-linear system of ordinary differential equationsu′(t)=f(t,u(t)),a.e.t∈[a,b],subject to the state-dependent impulse…”
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Equivalence between distributional differential equations and periodic problems with state-dependent impulses by Rachůnková, Irena, Tomeček, Jan

“…The paper points out a relation between the distributional differential equation of the second order and the periodic problem for differential equations with…”
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Asymptotic properties of Kneser solutions to nonlinear second order ODEs with regularly varying coefficients by Burkotová, Jana, Hubner, Michael, Rachůnková, Irena, Weinmüller, Ewa B.

“…In this work, we investigate properties of a class of solutions to the second order ODE,(p(t)u′(t))′+q(t)f(u(t))=0on the interval [a, ∞), a ≥ 0, where p and q…”
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Homoclinic solutions of singular differential equations with $\phi$-Laplacian by Rachůnek, Lukáš, Rachůnková, Irena

“…A singular nonlinear initial value problem (IVP) with a $\phi$-Laplacian of the form $$ (p(t)\phi(u'(t)))'+ p(t)f(\phi(u(t)))=0, \quad u(0)=u_0 \in…”
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A new approach to BVPs with state-dependent impulses by Rachůnková, Irena, Tomeček, Jan

“…The paper deals with the second-order Dirichlet boundary value problem with one state-dependent impulse z ″ ( t ) = f ( t , z ( t ) ) for a.e.  t ∈ [ 0 , T ] ,…”
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Distributional van der Pol equation with state-dependent impulses by Rachůnková, Irena, Tomeček, Jan

“…We investigate the distributional differential van der Pol equation with impulsive forcing term. We prove the existence of a periodic solution without global…”
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On nonlinear singular BVPs with nonsmooth data. Part 1: Analytical results by Burkotová, Jana, Rachůnková, Irena, Staněk, Svatoslav, Weinmüller, Ewa B., Wurm, Stefan

“…We study boundary value problems for systems of nonlinear ordinary differential equations with a time…”
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On singular BVPs with nonsmooth data: Analysis of the linear case with variable coefficient matrix by Burkotová, Jana, Rachůnková, Irena, Weinmüller, Ewa B.

“…In this paper, analytical properties of systems of singular linear ordinary differential equations with variable coefficient matrices and nonsmooth…”
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Second order BVPs with state dependent impulses via lower and upper functions by Rachůnková Irena, Tomeček Jan

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On singular BVPs with nonsmooth data: convergence of the collocation schemes by Burkotová, Jana, Rachůnková, Irena, Weinmüller, Ewa B.

“…This paper deals with the collocation method applied to solve systems of singular linear ordinary differential equations with variable coefficient matrices and…”
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Strictly increasing solutions of a nonlinear singular differential equation arising in hydrodynamics by RACHUNKOVA, Irena, TOMECEK, Jan

“…This paper investigates singular initial problems ( p ( t ) u ′ ) ′ = p ( t ) f ( u ) , u ( 0 ) = B , u ′ ( 0 ) = 0 , on the half-line [ 0 , ∞ ) . Here B < 0…”
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Existence of non-spurious solutions to discrete Dirichlet problems with lower and upper solutions by Rachůnková, Irena, Tisdell, Christopher C.

“…This paper investigates the solvability of discrete Dirichlet boundary value problems by the lower and upper solution method. Here, the second-order difference…”
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Bubble-type solutions of nonlinear singular problems by RACHUNKOVA, Irena, TOMECEK, Jan

“…The paper describes the set of all solutions of the singular initial problems ( p ( t ) u ′ ) ′ = p ( t ) f ( u ) , u ( 0 ) = B , u ′ ( 0 ) = 0 , on the…”
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Asymptotic Formula for Oscillatory Solutions of Some Singular Nonlinear Differential Equation by Rachunkova, Irena, Rachunek, Lukas

“…Singular differential equation (p(t)u′)′=p(t)f(u) is investigated. Here f is Lipschitz continuous on ℝ and has at least two zeros 0 and L>0 . The function p is…”
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Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics by Rachunek, Lukas, Rachunkova, Irena

“…The paper deals with the second-order non-autonomous difference equation x ( n + 1 ) = x ( n ) + ( n n + 1 ) 2 ( x ( n ) − x ( n − 1 ) + h 2 f ( x ( n ) ) ) ,…”
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