Classical solutions of hyperbolic IBVPs with state dependent delays

• Published in: Нелінійні коливання
• Date: 2010
• ISSN: 1562-3076
• Main Author: Czernous, W.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/174970
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Classical solutions of hyperbolic IBVPs with state dependent delays / W. Czernous // Нелінійні коливання. — 2010. — Т. 13, № 4. — С. 556-573. — Бібліогр.: 13 назв. — англ.

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...