Global solutions of initial problems for hyperbolic functional differential systems

A generalized Cauchy problem for almost linear hyperbolic functional differential systems is considered. A theorem on the global existence of classical solutions is proved. It is shown a result on the differentiability of solutions with respect to initial functions. A method of characteristics and i...

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Bibliographic Details
Published in:Acta mathematica Hungarica 2011-10, Vol.133 (1-2), p.58-79
Main Author: Kamont, Z.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:A generalized Cauchy problem for almost linear hyperbolic functional differential systems is considered. A theorem on the global existence of classical solutions is proved. It is shown a result on the differentiability of solutions with respect to initial functions. A method of characteristics and integral functional inequalities are used.
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-011-0112-4