EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS

EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS

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...

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Autores principales: Liu,Junwei, Zhang,Chuanyi
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2013
Materias:
Square-mean piecewise almost periodic
impulsive stochastic differential equation
the semigroups of the operators
Schauder fixed point theorem
stability
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100005
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spelling oai:scielo:S0719-064620130001000052018-10-08EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONSLiu,JunweiZhang,Chuanyi Square-mean piecewise almost periodic impulsive stochastic differential equation the semigroups of the operators Schauder fixed point theorem stability 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.15 n.1 20132013-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100005en10.4067/S0719-06462013000100005
institution Scielo Chile
collection Scielo Chile
language English
topic Square-mean piecewise almost periodic
impulsive stochastic differential equation
the semigroups of the operators
Schauder fixed point theorem
stability
spellingShingle Square-mean piecewise almost periodic
impulsive stochastic differential equation
the semigroups of the operators
Schauder fixed point theorem
stability
Liu,Junwei
Zhang,Chuanyi
EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS
description 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.
author Liu,Junwei
Zhang,Chuanyi
author_facet Liu,Junwei
Zhang,Chuanyi
author_sort Liu,Junwei
title EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS
title_short EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS
title_full EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS
title_fullStr EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS
title_full_unstemmed EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS TO IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS
title_sort existence and stability of almost periodic solutions to impulsive stochastic differential equations
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2013
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462013000100005
work_keys_str_mv AT liujunwei existenceandstabilityofalmostperiodicsolutionstoimpulsivestochasticdifferentialequations
AT zhangchuanyi existenceandstabilityofalmostperiodicsolutionstoimpulsivestochasticdifferentialequations
_version_ 1714206781408804864

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