Classical solutions of hyperbolic functional differential systems

DOI10.1007/S10474-009-8189-8zbMath1224.35412OpenAlexW2007587363MaRDI QIDQ624188

Zdzisław Kamont

Publication date: 8 February 2011

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-8189-8

zbMATH Keywords

functional differential systemgeneralized Cauchy problembicharateristic

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) Partial functional-differential equations (35R10) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (1)

Global solutions of initial problems for hyperbolic functional differential systems

Cites Work

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• On the Cauchy problem for quasilinear hyperbolic systems of partial differential-functional equations of the first order
• Existence of generalized solutions of hyperbolic functional-differential equations
• Generalized solutions of mixed problems for first-order partial functional differential equations
• Existence, uniqueness and continuous dependence for a hereditary nonlinear functional partial differential equation of the first order
• Generalized solutions to boundary value problems for quasilinear hyperbolic systems of partial differential-functional equations
• Nonlinear hyperbolic volterra integrodifferential equations
• On the local Cauchy problem for Hamilton Jacobi equations with a functional dependence

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