Differential-functional inequalities related to initial-boundary problems for first order partial differential-functional equations

DOI10.1007/BF01875969zbMath0816.34043MaRDI QIDQ1314881

Danuta Jaruszewska-Walczak

Publication date: 14 March 1994

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

zbMATH Keywords

uniquenesscomparison theoremdifferential-functional equationsmixed initial-boundary value problemsdifferential-functional inequalities

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) General theory of functional-differential equations (34K05) Differential inequalities involving functions of a single real variable (34A40) Boundary value problems for functional-differential equations (34K10) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (1)

Uniqueness of solutions of impulsive hyperbolic differential-functional equations

Cites Work

• Generalized solutions to free boundary problems for hyperbolic systems of functional partial differential equations
• Existence and uniqueness of solutions to initial-boundary value problems for semilinear hyperbolic systems in two independent variables
• On the Chaplygin method for partial differential-functional equations of the first order
• Strong maximum principle for non-linear parabolic differential-functional inequalities
• Local generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in two independent variables
• A difference method for the non-linear partial differential equation of the first order
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