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Zeitschrift für Analysis und ihre Anwendungen

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Volume 23, Issue 2, 2004, pp. 377–405
DOI: 10.4171/ZAA/1204

Published online: 2004-06-30

Hyperbolic Functional Differential Systems with Unbounded Delay

Slawomir Koziel[1]

(1) University of Gdansk, Poland

The phase space for quasilinear systems with unbounded delay is constructed. Caratheodory solutions to initial and mixed problems are investigated. Theorems on the local existence and continuous dependence upon initial or initial boundary functions are given. The fixed-point method and integral inequalities are used.

Keywords: Caratheodory solutions, phase spaces, initial problems, mixed problems

Koziel Slawomir: Hyperbolic Functional Differential Systems with Unbounded Delay. Z. Anal. Anwend. 23 (2004), 377-405. doi: 10.4171/ZAA/1204