Hyperbolic functional-differential equations with unbounded delay

DOI10.4171/ZAA/871zbMath0924.35187MaRDI QIDQ1284527

Zdzisław Kamont

Publication date: 11 November 1999

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48274

zbMATH Keywords

local existenceunbounded delayCarathéodory solutions

Mathematics Subject Classification ID

Partial functional-differential equations (35R10)

Related Items (14)

Comparison principles for parabolic differential-functional initial-value problems ⋮ Mixed problems for hyperbolic functional differential equations with unbounded delay ⋮ Hyperbolic functional differential systems with unbounded delay ⋮ Differentiability with respect to initial functions for partial functional differential equations with unbounded delay ⋮ Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay ⋮ Difference methods for parabolic equations with Robin condition ⋮ Monotone iterative methods for infinite systems of parabolic functional differential equations ⋮ Estimate of solutions for differential and difference functional equations with applications to difference methods ⋮ Phase spaces for quasi-linear hyperbolic functional differential equations with unbounded delay. ⋮ Comparison between some explicit and implicit difference schemes for Hamilton Jacobi functional differential equations ⋮ Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order ⋮ Existence of solutions to Hamilton-Jacobi functional differential equations ⋮ Darboux problem for perturbed partial differential equations of fractional order with finite delay ⋮ Infinite systems of hyperbolic functional differential inequalities

Cites Work

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• Functional differential equations of the Cauchy-Kowalevsky type
• Functional differential equations with infinite delay
• Existence, uniqueness and continuous dependence for a hereditary nonlinear functional partial differential equation of the first order
• Difference Methods for Non-Linear Partial Differential-Functional Equations of the First Order
• On the Chaplygin method for partial differential-functional equations of the first order
• On the uniqueness of viscosity solutions for first order partial differential-functional equations
• On the mixed type functional-differential equations

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