Existence of Mild Solution for Impulsive Stochastic Differential Equations with Nonlocal Conditions
نویسنده
چکیده
This paper is concerned with the existence of mild solution for impulsive stochastic differential equations with nonlocal conditions in PC -norm. Our approach is based on Krasnoselskii fixed point theorem. Mathematics subject classification (2010): 34K50, 60H15.
منابع مشابه
Impulsive integrodifferential Equations and Measure of noncompactness
This paper is concerned with the existence of mild solutions for impulsive integro-differential equations with nonlocal conditions. We apply the technique measure of noncompactness in the space of piecewise continuous functions and by using Darbo-Sadovskii's fixed point theorem, we prove reasults about impulsive integro-differential equations for convex-power condensing operators.
متن کاملExistence and uniqueness results for impulsive neutral stochastic differential systems with nonlocal conditions
This paper is mainly concerned with the existence and uniqueness of mild solutions for impulsive neutral stochastic differential equations with nonlocal conditions in Hilbert spaces. The results are obtained by using fractional powers of operator in the semigroup theory and Sadovskii′s fixed point theorem. In the end as an application, an example has been presented to illustrate the results obt...
متن کاملControllability Result for Nonlocal Nonlinear Impulsive Fuzzy Stochastic Differential Systems
This paper is concerned with sufficient conditions for the controllability for nonlocal nonlinear impulsivefuzzy stochastic systems in Banach space by using the concept of Mild solution. And the conditions are drive by using Sadovskii fixed point theorem, Hausdorff measure of noncompactness and operator semigroup. 1. Introduction The problem of controllability is to show the existence ofa contr...
متن کامل$L^p$-existence of mild solutions of fractional differential equations in Banach space
We study the existence of mild solutions for semilinear fractional differential equations with nonlocal initial conditions in $L^p([0,1],E)$, where $E$ is a separable Banach space. The main ingredients used in the proof of our results are measure of noncompactness, Darbo and Schauder fixed point theorems. Finally, an application is proved to illustrate the results of this work.
متن کاملExistence of a Mild Solution for Impulsive Neutral Fractional Differential Equations with Nonlocal Conditions
In the present work, we investigate the existence of a mild solution of the fractional order differential equation with impulsive conditions in a Banach space. We establish the existence of a mild solution by using some fixed point theorems and resolvent operator theory. We present an example for showing the effectiveness of the main theory. Mathematics subject classification (2010): 34K37, 34K...
متن کامل