Linear hyperbolic functional-differential equations with essentially bounded right-hand side

Alexander Domoshnitsky, Alexander Lomtatidze, Abraham Maghakyan, Jiří Šremr

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Theorems on the unique solvability and nonnegativity of solutions to the characteristic initial value problem u 1,1 (t, x) = l 0 (u) (t, x) + l 1 (u 1,0) (t, x) + l 2 (u 0,1)(t, x) + q (t, x), u (t, c) = (t) for t [ a, b ], u (a, x) = (x) for x [ c, d ] given on the rectangle [ a, b ] [ c, d ] are established, where the linear operators l 0, l 1, l 2 map suitable function spaces into the space of essentially bounded functions. General results are applied to the hyperbolic equations with essentially bounded coefficients and argument deviations.

Original languageEnglish
Article number242965
JournalAbstract and Applied Analysis
Volume2011
DOIs
StatePublished - 2011

Fingerprint

Dive into the research topics of 'Linear hyperbolic functional-differential equations with essentially bounded right-hand side'. Together they form a unique fingerprint.

Cite this