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Abstract
Initial boundary value problems for nonlinear first order partial functional differential equations are transformed by discretization in space variables into systems of ordinary functional differential equations. A method of quasi linearization is adopted. Suffcient conditions for the convergence of the method of lines and error estimates for approximate solutions are presented. The proof of the stability of the diffrential difference problems is based on a comparison technique. Nonlinear estimates of the Perron type with respect to the functional variable for given functions are used. Results obtained in the paper can be applied to differential integral problems and equations with deviated variables.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
DYNAMIC SYSTEMS AND APPLICATIONS
no. 22,
pages 641 - 663,
ISSN: 1056-2176 - Language:
- English
- Publication year:
- 2013
- Bibliographic description:
- Kamont Z., Szafrańska A.: Method of lines for Hamilton-Jacobi functional differential equations.// DYNAMIC SYSTEMS AND APPLICATIONS. -Vol. 22, nr. 4 (2013), s.641-663
- Verified by:
- Gdańsk University of Technology
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