On the mixed problem for hyperbolic partial differential-functional equations of the first order

DOI10.1023/A:1022453117846zbMath1010.35021OpenAlexW6519922MaRDI QIDQ4783838

Tomasz Człapiński

Publication date: 9 December 2002

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30523

zbMATH Keywords

generalized solutionslocal existencesuccessive approximationsbicharacteristics

Mathematics Subject Classification ID

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

Related Items

Mixed problems for hyperbolic functional differential equations with unbounded delay, The existence of a unique solution of the hyperbolic functional differential equation, Generalized implicit Euler method for hyperbolic functional differential equations, Carathéodory solutions to hyperbolic functional differential systems with state dependent delays

Cites Work

• Generalized solutions to free boundary problems for hyperbolic systems of functional partial differential equations
• On the global continuous solvability of the mixed problem for one-dimensional hyperbolic systems of quasilinear equations
• On a class of systems of nonlinear partial differential equations in several independent variables
• On the Cauchy problem for quasilinear hyperbolic systems of partial differential-functional equations of the first order
• On the mixed problem for quasilinear partial differential-functional equations of the first order
• Local generalized solutions of mixed problems for quasilinear hyperbolic systems of functional partial differential equations in two independent variables
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