Multiple solutions of the Dirichlet problem in multidimensional billiard spaces

DOI10.1007/S11784-022-01040-WOpenAlexW3027549613MaRDI QIDQ2103493

Grzegorz Gabor, Jan Tomeček

Publication date: 13 December 2022

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09400

zbMATH Keywords

Dirichlet problemboundary value problembilliardstate-dependent impulsesmultiplicity results.

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Applications of operator theory to differential and integral equations (47N20) Boundary value problems with impulses for ordinary differential equations (34B37)

Related Items (2)

Second-order discontinuous ODEs and billiard problems ⋮ Tessellation technique in solving the two-point boundary value problem in multidimensional billiard spaces

Cites Work

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• On the Dirichlet problem in billiard spaces
• Shooting methods for state-dependent impulsive boundary value problems, with applications
• State-dependent impulses. Boundary value problems on compact interval
• Periodic solution of differential equation with \(\phi\)-Laplacian and state-dependent impulses
• Impulsive Differential Inclusions
• Principles of Discontinuous Dynamical Systems
• Dirichlet boundary value problem for differential equation with ϕ-Laplacian and state-dependent impulses

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