Nonnegative solutions of the characteristic initial value problem for linear partial functional-differential equations of hyperbolic type

DOI10.1016/J.MCM.2007.07.003zbMath1145.35418OpenAlexW2049538105MaRDI QIDQ949499

Jiři Šremr, Sulkhan Mukhigulashvili, Alexander Lomtatidze

Publication date: 21 October 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.07.003

zbMATH Keywords

nonnegative solutioncharacteristic initial value problemfunctional differential equation of hyperbolic type

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (4)

Linear hyperbolic functional-differential equations with essentially bounded right-hand side ⋮ 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 ⋮ Some remarks on linear functional differential inequalities of hyperbolic type

Cites Work

• Absolutely continuous solutions of Cauchy's problem for \(u_{xy} = f(x,y,u,u_ x,u_ y)\)
• Absolutely continuous functions of several variables and their application to differential equations
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