Zeitschrift für Analysis und ihre Anwendungen
Full-Text PDF (243 KB) | Metadata | Table of Contents | ZAA summary
Published online: 2004-06-30
Hyperbolic Functional Differential Systems with Unbounded DelaySlawomir Koziel (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