Classical solutions of hyperbolic initial boundary-value problems with state-dependent delays

DOI10.1007/S11072-011-0134-4zbMath1334.35176OpenAlexW1963534604MaRDI QIDQ275431

Wojciech Czernous

Publication date: 26 April 2016

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-011-0134-4

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for first-order hyperbolic systems (35L50) Classical solutions to PDEs (35A09)

Cites Work

• Introduction to functional differential equations
• Carathéodory solutions to hyperbolic functional differential systems with state dependent delays
• Existence, uniqueness and continuous dependence for a hereditary nonlinear functional partial differential equation of the first order
• On the local Cauchy problem for Hamilton Jacobi equations with a functional dependence
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