Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions

Existence of solutions for quasilinear delay integrodifferential equations with nonlocal conditions

We prove the existence and uniqueness of mild and classical solution to a quasilinear delay integrodifferential equation with nonlocal condition. The results are obtained by using $C_0$-semigroup and the Banach fixed point theorem.

Bibliographic Details
Main Authors: Francis Paul Samuel, Krishnan Balachandran
Format: Article
Language:English
Published: Texas State University 2009-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Semigroup
mild and classical solution
Banach fixed point theorem
Online Access:http://ejde.math.txstate.edu/Volumes/2009/06/abstr.html
Description
Summary:We prove the existence and uniqueness of mild and classical solution to a quasilinear delay integrodifferential equation with nonlocal condition. The results are obtained by using $C_0$-semigroup and the Banach fixed point theorem.
ISSN:1072-6691

Similar Items