Mixed problems for hyperbolic functional differential equations with unbounded delay

DOI10.1016/j.na.2004.04.005zbMath1126.35082OpenAlexW2020151928MaRDI QIDQ1883451

Zdzisław Kamont, Slawomir Koziel

Publication date: 12 October 2004

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.2004.04.005

zbMATH Keywords

Local existenceGeneralized solutionsUnbounded delayBicharacteristics

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) First-order nonlinear hyperbolic equations (35L60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30)

Related Items (2)

Symmetry analysis of the nonhomogeneous inviscid Burgers equation with delay ⋮ Weak solutions for hyperbolic partial fractional differential equations in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Monotone iterative technique for partial differential equations of first order
• Functional differential equations with infinite delay
• Hyperbolic functional-differential equations with unbounded delay
• On the mixed problem for quasilinear partial differential-functional equations of the first order
• Global solvability of the mixed problem for first order functional partial differential equations
• Equations with unbounded delay: a survey
• Mixed functional-differential equations
• On the uniqueness of viscosity solutions for first order partial differential-functional equations
• Mixed problems for quasilinear hyperbolic systems
• Existence of weak solutions of nonlinear functional differential equations with unbounded delay
• Local generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in two independent variables
• On the mixed problem for hyperbolic partial differential-functional equations of the first order

This page was built for publication: Mixed problems for hyperbolic functional differential equations with unbounded delay