Existence of Integrable Solutions for a Functional Integral Inclusion
Автор(ы):
A.M.A. El-Sayed
Faculty of Science
Alexandria University
Alexandria, Egypt
amasayed@alexu.edu.eg
Nesreen F. M. El-Haddad
Faculty of Science
Damanhour University
Behera, Egypt
nesreen_fawzy20@yahoo.com
Аннотация:
In this paper we concern with the nonlinear functional integral
inclusion in the real line R. The existence of integrable solutions is studied
under the assumptions that the set-valued function F has summable Caratheodory selection
and measurable selection. We reformulate the functional integral inclusion
according to these selections and study two cases of such problem.
Ключевые слова
- functional integral inclusion
- integrable solution
- measurable selection
- selection of the set-valued function
- Set-valued function
- summable Caratheodory selection
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