Some results on the approximate controllability of impulsive stochastic integro-differential equations with nonlocal conditions and state-dependent delay
Authors
M. Fall
- UFR SAT Departement de Mathematiques, Universite Gaston Berger de Saint-Louis, B.P 234, Saint-Louis, Senegal.
A. Mane
- UFR SAT Departement de Mathematiques, Universite Gaston Berger de Saint-Louis, B.P 234, Saint-Louis, Senegal.
B. Dehigbe
- Institut de Math'ematiques et de Sciences Physiques , URMPM B.P. 613, Porto-Novo, Benin.
M. A. Diop
- UFR SAT Departement de Mathematiques, Universite Gaston Berger de Saint-Louis, B.P 234, Saint-Louis, Senegal.
- UMMISCO UMI 209 IRD/UPMC, Bondy, France.
Abstract
This paper presents approximate controllability results for impulsive stochastic integro-differential systems with state-dependent 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.
Share and Cite
ISRP Style
M. Fall, A. Mane, B. Dehigbe, M. A. Diop, Some results on the approximate controllability of impulsive stochastic integro-differential equations with nonlocal conditions and state-dependent delay, Journal of Nonlinear Sciences and Applications, 15 (2022), no. 4, 284--300
AMA Style
Fall M., Mane A., Dehigbe B., Diop M. A., Some results on the approximate controllability of impulsive stochastic integro-differential equations with nonlocal conditions and state-dependent delay. J. Nonlinear Sci. Appl. (2022); 15(4):284--300
Chicago/Turabian Style
Fall, M., Mane, A., Dehigbe, B., Diop, M. A.. "Some results on the approximate controllability of impulsive stochastic integro-differential equations with nonlocal conditions and state-dependent delay." Journal of Nonlinear Sciences and Applications, 15, no. 4 (2022): 284--300
Keywords
- Impulsive stochastic integrodifferential equations
- state-dependent delay
- mild solution
- approximate controllability
- semigroup theory
- resolvent operator
- fixed point theorem
- nonlocal conditions
MSC
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