Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations

Existence and uniqueness of strong solutions to nonlinear nonlocal functional differential equations

In the present work we consider a nonlinear nonlocal functional differential equations in a real reflexive Banach space. We apply the method of lines to establish the existence and uniqueness of a strong solution. We consider also some applications of the abstract results.

Bibliographic Details
Main Authors: Shruti Agarwal, Dhirendra Bahuguna
Format: Article
Language:English
Published: Texas State University 2004-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Nonlocal problem
accretive operator
strong solution
method of lines
Online Access:http://ejde.math.txstate.edu/Volumes/2004/52/abstr.html

Internet

http://ejde.math.txstate.edu/Volumes/2004/52/abstr.html

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