Search

Your search keyword '"Fall, Mbarack"' showing total 9 results
Start Over Author "Fall, Mbarack"
9 results on '"Fall, Mbarack"'

4. Existence and controllability results for an impulsive stochastic integro-differential equations with state-dependent delay

Author

Diop, Mamadou Abdoul, Fall, Mbarack, Bodjrenou, Firmin, Ogouyandjou, Carlos, Diop, Mamadou Abdoul, Fall, Mbarack, Bodjrenou, Firmin, and Ogouyandjou, Carlos

Abstract

In this article, we discuss the existence of mild solutions for a class of impulsive stochastic integro-differential equations with state-dependent delay in a real Hilbert space as well as the controllability of these solutions. These equations are posed in a real Hilbert space. In the beginning, we use the theory of resolvent operators in the sense of Grimmer and fixed point theory to show that there is a mild solution to the problem. The controllability of the mild solution is the next aspect of the problem that we will investigate in more depth. At the end of the article, a case study is used to show how the abstract findings of the research can be used. &nbsp

Published
2023

7. CONTROLLABILITY OF INTEGRODIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY.

Author

GUINDO, PAUL DIT AKOUNI, FALL, MBARACK, MANÉ, AZIZ, and DIOP, MAMADOU ABDOUL

Subjects
*INTEGRO-differential equations, *RESOLVENTS (Mathematics), *FUNCTIONAL equations, *CARLEMAN theorem
Abstract

In this paper, the controllability of a class of functional integrodifferential equations with state-dependent delay is investigated. Through the application of the resolvent operator in the sense of Grimmer and Sadovskii's fixed point theorem, sufficient conditions for the controllability of functional integrodifferential equations with state-dependent delay can be established. At long last, an illustration of how the results that were obtained can be put to use is presented here. [ABSTRACT FROM AUTHOR]

Published
2023
Full Text
View/download PDF

9. Some results on the approximate controllability of impulsive stochastic integro-differential equations with nonlocal conditions and state-dependent delay.

Author

Fall, Mbarack, Mané, Aziz, Dehigbe, Bertin, and Dio, Mamadou Abdoul

Subjects
RESOLVENTS (Mathematics), STOCHASTIC analysis, INTEGRO-differential equations, HILBERT space, STOCHASTIC systems, IMPULSIVE differential equations
Abstract

This paper presents approximate controllability results for impulsive stochastic integro-differential systems with statedependent delay in a Hilbert space. The use of the resolvent operator in the sense of Grimmer, as well as stochastic analysis techniques, yields a new set of results. Finally, an example is given to show how the theory that has been worked out can be put into practice. [ABSTRACT FROM AUTHOR]

Published
2022
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results