Hyperbolic functional differential systems with Unbounded Delay

Sławomir Kozieł

doi:10.4171/ZAA/1204

Hyperbolic functional differential systems with Unbounded Delay

Sławomir Kozieł^*

^*Corresponding author for this work

Department of Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The phase space for quasilinear systems with unbounded delay is constructed. Carathéodory 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.

Original language	English
Pages (from-to)	377-405
Number of pages	29
Journal	Zeitschrift fur Analysis und ihre Anwendung
Volume	23
Issue number	2
DOIs	https://doi.org/10.4171/ZAA/1204
Publication status	Published - 2004

Other keywords

Carathéodory solutions
Initial problems
Mixed problems
Phase spaces

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title = "Hyperbolic functional differential systems with Unbounded Delay",

abstract = "The phase space for quasilinear systems with unbounded delay is constructed. Carath{\'e}odory 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 = "Carath{\'e}odory solutions, Initial problems, Mixed problems, Phase spaces",

author = "S{\l}awomir Kozie{\l}",

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KW - Carathéodory solutions

KW - Initial problems

KW - Mixed problems

KW - Phase spaces

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M3 - Article

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JF - Zeitschrift fur Analysis und ihre Anwendung

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ER -

Hyperbolic functional differential systems with Unbounded Delay

Abstract

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