On the Dirichlet problem in billiard spaces

DOI10.1016/J.JMAA.2016.03.072zbMath1362.37081arXiv1504.06466OpenAlexW2963881432MaRDI QIDQ289524

Grzegorz Gabor

Publication date: 30 May 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06466

zbMATH Keywords

Dirichlet problembilliardstate-dependent impulses

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (6)

Second-order discontinuous ODEs and billiard problems ⋮ Tessellation technique in solving the two-point boundary value problem in multidimensional billiard spaces ⋮ Unnamed Item ⋮ Shooting methods for state-dependent impulsive boundary value problems, with applications ⋮ Distributional van der Pol equation with state-dependent impulses ⋮ Multiple solutions of the Dirichlet problem in multidimensional billiard spaces

Cites Work

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• Variational approach to impulsive differential equations
• Variational formulation of a damped Dirichlet impulsive problem
• On existence of solutions to differential equations or inclusions remaining in a prescribed closed subset of a finite-dimensional space.
• A new approach to BVPs with state-dependent impulses
• Existence of solutions for a damped nonlinear impulsive problem with Dirichlet boundary conditions

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