Method of Lines for Quasilinear Functional Differential Equations

• Published in: Український математичний журнал
• Date: 2013
• Main Authors: Czernous, W., Kamont, Z.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165656
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Method of Lines for Quasilinear Functional Differential Equations / W. Czernous, Z. Kamont // Український математичний журнал. — 2013. — Т. 65, № 10. — С. 1363–1387. — Бібліогр.: 30 назв. — англ.

We give a theorem on the estimation of error for approximate solutions to ordinary functional differential equations. The error is estimated by a solution of an initial problem for a nonlinear functional differential equation. We apply this general result to the investigation of convergence of the n...