Classical solutions of hyperbolic IBVPs with state dependent delays
We consider the initial boundary-value problem for a system of quasilinear partial functional differential equations of the first order. Using the method of bicharacteristics and the fixed-point theorem we prove the local existence, uniqueness and continuous dependence on data of classical solutio...
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| Datum: | 2010 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2010
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| Schriftenreihe: | Нелінійні коливання |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/174970 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Classical solutions of hyperbolic IBVPs with state dependent delays / W. Czernous // Нелінійні коливання. — 2010. — Т. 13, № 4. — С. 556-573. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We consider the initial boundary-value problem for a system of quasilinear partial functional differential equations of the first order.
Using the method of bicharacteristics and the fixed-point theorem we prove the local existence, uniqueness and continuous dependence on data of classical solutions of the problem. |
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