Unique solvability of the Darboux problem for linear hyperbolic functional differential equations

DOI10.1515/gmj-2016-0079zbMath1431.35086OpenAlexW2572239395MaRDI QIDQ516923

Jiři Šremr

Publication date: 15 March 2017

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

Full work available at URL: https://doi.org/10.1515/gmj-2016-0079

zbMATH Keywords

uniquenesssolvabilityDarboux problemlinear functional differential equation of hyperbolic type

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Partial functional-differential equations (35R10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Unique solvability of the Darboux problem for linear hyperbolic functional differential equations

Cites Work

• Carathéodory solutions to a hyperbolic differential inequality with a non-positive coefficient and delayed arguments
• Unique solvability of the Darboux problem for linear hyperbolic functional differential equations
• A two-point problem for systems of hyperbolic equations
• Nonnegative solutions of the characteristic initial value problem for linear partial functional-differential equations of hyperbolic type
• The method of upper, lower solutions and hyperbolic partial differential equations
• Absolutely continuous solutions of Cauchy's problem for \(u_{xy} = f(x,y,u,u_ x,u_ y)\)
• On the characteristic initial-value problem for linear partial functional-differential equations of hyperbolic type
• On differentiation of a Lebesgue Integral with respect to a Parameter
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