Existence and stability of almost periodic solutions to impulsive stochastic differential equations
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Junwei Liu
junweiliuhit@gmail.com
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Chuanyi Zhang
junweiliuhit@gmail.com
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DOI:
https://doi.org/10.4067/S0719-06462013000100005Abstract
This paper introduces the concept of square-mean piecewise almost periodic for impulsive stochastic processes. The existence of square-mean piecewise almost periodic solutions for linear and nonlinear impulsive stochastic differential equations is established by using the theory of the semigroups of the operators and Schauder fixed point theorem. The stability of the square-mean piecewise almost periodic solutions for nonlinear impulsive stochastic differential equations is investigated.
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Published
2013-03-01
How to Cite
[1]
J. Liu and C. Zhang, “Existence and stability of almost periodic solutions to impulsive stochastic differential equations”, CUBO, vol. 15, no. 1, pp. 77–96, Mar. 2013.
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