Classical solutions of hyperbolic IBVPs with state dependent delays on a cylindrical domain

DOI10.1016/j.na.2012.07.014zbMath1253.35196OpenAlexW2057260137MaRDI QIDQ452435

Wojciech Czernous

Publication date: 21 September 2012

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/j.na.2012.07.014

zbMATH Keywords

local existenceclassical solutionspartial functional differential equationscylindrical domainbicharacteristics

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) First-order nonlinear hyperbolic equations (35L60) Integro-partial differential equations (35R09)

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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