ArticleOriginal scientific text
Title
On initial value problems for a class of first order impulsive differential inclusions
Authors 1, 2, 3
Affiliations
- Department of Mathematics, University of Sidi Bel Abbes, BP 89, 22000 Sidi Bel Abbes, Algeria
- Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, B.O. Box 5046 Dhahran 31261, Saudi Arabia
- Department of Mathematical Analysis, University de Santiago de Compostela, Santiago de Compostela 15706 A Coruña, Spain
Abstract
We investigate the existence of solutions to first order initial value problems for differential inclusions subject to impulsive effects. We shall rely on a fixed point theorem for condensing maps to prove our results.
Keywords
impulsive initial value problem, set-valued map, condensing map, fixed point
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Pages:
159-171
Main language of publication
English
Received
2000-05-20
Published
2001
DOI: 10.7151/dmgt.1022
Exact and natural sciences