Second-order discontinuous ODEs and billiard problems

DOI10.1016/j.jmaa.2024.128237MaRDI QIDQ6130391

Jan Tomeček, Jorge Rodríguez-López

Publication date: 2 April 2024

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

zbMATH Keywords

differential inclusionsDirichlet problemmultiple solutionsimpulsive differential equationsdiscontinuous differential equationsbilliard problem

Mathematics Subject Classification ID

Boundary value problems for ordinary differential equations (34Bxx) General theory for ordinary differential equations (34Axx) Nonlinear operators and their properties (47Hxx)

Cites Work

• On the Dirichlet problem in billiard spaces
• Multiple solutions of the Dirichlet problem in multidimensional billiard spaces
• Differential equations with discontinuous right-hand sides
• Existence and uniqueness of solutions for systems of discontinuous differential equations under localized Bressan-Shen transversality conditions
• Solution Sets for Differential Equations and Inclusions
• Ordinary differential equations and systems with time-dependent discontinuity sets
• On moving hypersurfaces and the discontinuous ODE-system associated with two-phase flows
• On a theorem of S. Bernstein
• Tessellation technique in solving the two-point boundary value problem in multidimensional billiard spaces
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