Existence and Ulam-Hyers-Rassias stability of stochastic differential equations with random impulses
Keyword(s):
In this paper, we investigate the existence and Ulam-Hyers-Rassias stability of solutions for stochastic differential equations with random impulses. Based on the Krasnoselskii?s fixed point theorem, we perform investigations on the existence of solutions to the system of stochastic differential equations with random impulses. We apply the integral inequality of Gronwall type to the equations and study their Ulam-Hyers-Rassias stability.
2017 ◽
1991 ◽
Vol 44
(3)
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pp. 467-476
2016 ◽
Vol 94
(3)
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pp. 497-506
2015 ◽
Vol 2015
(1)
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