On a nonclassical problem for some quasilinear hyperbolic equation

DOI10.1016/S0362-546X(01)00905-1zbMath1010.35068OpenAlexW1963776626MaRDI QIDQ1849043

Rostyslav O. Hryniv, I. Ya. Kmit'

Publication date: 28 November 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00905-1

zbMATH Keywords

generalized solutionsnonlocal boundary conditionsclassical solutionstrajectories of solution expansion

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial-boundary value problems for first-order hyperbolic systems (35L50)

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Cites Work

• On a nonlocal problem for a quasilinear first-order hyperbolic system with two independent variables
• Source-type solutions of a singular conservation law with absorption
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• Small denominators. I. Mappings of the circumference onto itself
• Dirichlet, Neumann, and mixed boundary value problems for the wave equationu_xx—u_yy=0 for a rectangle
• The Dirichlet problem for the vibrating string equation
• On kinematic waves II. A theory of traffic flow on long crowded roads
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