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

• Junwei Liu ^[1] ; Chuanyi Zhang ^[1]
  1. [1] Harbin Institute of Technology

     Harbin Institute of Technology

     China

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 15, Nº. 1, 2013, págs. 77-96
• Idioma: inglés
• DOI: 10.4067/S0719-06462013000100005
• Enlaces
  • Texto completo
• Resumen
  • español

    Este artí­culo introduce el concepto de periodicidad cuadrática media por tramos casi periódica para procesos estocásticos impulsivos. La existencia de soluciones de media cuadrática casi periódicas para ecuaciones diferenciales estocásticas impulsivas lineales y no lineales se establece usando la teoría de semigrupos de los operadores y el teorema de punto fijo de Schauder. Se estudia la estabilidad de las soluciones de media cuadrática por tramos casi periódica para ecuaciones diferenciales estocásticas impulsivas no lineales.

  • English

    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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