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EXISTENCE AND REGULARITY OF SOLUTIONS FOR HYPERBOLIC FUNCTIONAL DIFFERENTIAL PROBLEMS.
- Source :
-
Opuscula Mathematica . 2014, Vol. 34 Issue 2, p217-242. 26p. - Publication Year :
- 2014
-
Abstract
- A generalized Cauchy problem for quasilinear hyperbolic functional differential systems is considered. A theorem on the local existence of weak solutions is proved. The initial problem is transformed into a system of functional integral equations for an unknown function and for their partial derivatives with respect to spatial variables. The existence of solutions for this system is proved by using a method of successive approximations. We show a theorem on the differentiability of solutions with respect to initial functions which is the main result of the paper. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 12329274
- Volume :
- 34
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Opuscula Mathematica
- Publication Type :
- Academic Journal
- Accession number :
- 96215453
- Full Text :
- https://doi.org/10.7494/OpMath.2014.34.2.217