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Discontinuity, Nonlinearity, and Complexity 12(4) (2023) 863--878 | DOI:10.5890/DNC.2023.12.011

Mbarack Fall$^{1}$, Abdoule W. Gnonlonfoun$^{2}$, Mamadou Abdoul Diop $^{1,3}$, Carlos Ogouyandjou$^{2}$

$^{1}$ Universit'{e} Gaston Berger de Saint-Louis, ,UFR SAT D'epartement de Math'ematiques, Saint-Louis, B.P234,

S'en'egal

$^2$ Institut de Math'ematiques et de Sciences Physiques, URMPM, B.P. 613, Porto-Novo, B'enin

$^{3}$ UMMISCO UMI 209 IRD/UPMC, Bondy, France

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Abstract

This work is concerned with the existence and controllability of impulsive stochastic integrodifferential systems with state-dependent delay in a real separable Hilbert space. The main results are obtained by using stochastic analysis theory, fixed point techniques and, Grimmer's resolvent operator theory. Finally, an example is provided to illustrate the proposed theory.

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