Open AccessHyperbolic Functional-Differential Equations with Unbounded Delay
Author(s) -
Zdzisław Kamont
Publication year - 1999
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/871
Subject(s) - uniqueness , mathematics , mathematical analysis , space (punctuation) , delay differential equation , picard–lindelöf theorem , differential equation , fixed point theorem , computer science , operating system
The phase space-for quasilinear equations with unbounded delay is constructed. Carathéodory solutions of initial problems are investigated. A theorem on the existence, uniqueness and continuous dependence upon initial data is given. The method of bicharacteristics and integral inequalities are used.
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