Existence and stability of almost periodic solutions to impulsive stochastic differential equations

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DOI:

https://doi.org/10.4067/S0719-06462013000100005

Abstract

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.

Keywords

Square-mean piecewise almost periodic , impulsive stochastic differential equation , the semigroups of the operators , Schauder fixed point theorem , stability
  • Junwei Liu Harbin Institute of Technology, Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P.R. China.
  • Chuanyi Zhang Harbin Institute of Technology, Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P.R. China.
  • Pages: 77–96
  • Date Published: 2013-03-01
  • Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal

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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.

Issue

Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal

Section

Articles