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Green’s functions and comparison results for impulsive integrodifferential equations

✍ Scribed by Daniel Franco

Book ID
104330122
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
237 KB
Volume
47
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper we construct a Green's like function for a linear integrodifferential problem with impulses. Then, we prove a new comparison result which permits us to develop the monotone iterative technique and to show the existence of extremal solutions for a nonlinear integrodifferential problem.

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This paper is mainly concerned with the existence of solutions of first order nonlinear impulsive fractional integrodifferential equations in Banach spaces. The results are obtained by using fixed point principles. Further, some interesting examples are presented to illustrate the theory.

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