Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1999-03-31
Hyperbolic Functional-Differential Equations with Unbounded DelayZdzisław Kamont (1) University of Gdansk, Poland
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 bichar-acteristics and integral inequalities are used.
Keywords: Unbounded delay, local existence, Carathéodory solutions
Kamont Zdzisław: Hyperbolic Functional-Differential Equations with Unbounded Delay. Z. Anal. Anwend. 18 (1999), 97-109. doi: 10.4171/ZAA/871