<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper we study a class of impulsive systems of stochastic differential equations with infinite Brownian motions. Sufficient conditions for the existence and uniqueness of solutions are established by mean of some fixed point theorems in vector Banach spaces. An example is provided to illustrate the theory.</p></abstract>

In this paper we study a class of impulsive systems of stochastic differential equations with infinite Brownian motions. Sufficient conditions for the existence and uniqueness of solutions are established by mean of some fixed point theorems in vector Banach spaces. An example is provided to illustrate the theory.

Some Existence Results for Systems of Impulsive Stochastic Differential Equations

Departamento de Análisis Matemático, Instituto de Matemáticas

Department of Mathematics and Informatics

The African University Ahmed Draia of Adrar

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

In this paper we study a class of impulsive systems of stochastic differential equations with infinite Brownian motions. Sufficient conditions for the...

Some Existence Results for Systems of Impulsive Stochastic Differential Equations

Published Online: Apr 13, 2021

Page range: 260 - 281

Received: Feb 23, 2020

Accepted: Dec 29, 2020

DOI: https://doi.org/10.2478/amsil-2020-0028

Keywords
stochastic differential equation, Wiener process, impulsive differential equations, matrix convergent to zero, generalized Banach space, fixed point

© 2021 Sliman Mekki et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Some Existence Results for Systems of Impulsive Stochastic Differential Equations

Published Online: Apr 13, 2021

Page range: 260 - 281

Received: Feb 23, 2020

Accepted: Dec 29, 2020

DOI: https://doi.org/10.2478/amsil-2020-0028

Keywordsstochastic differential equation, Wiener process, impulsive differential equations, matrix convergent to zero, generalized Banach space, fixed point

© 2021 Sliman Mekki et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
stochastic differential equation, Wiener process, impulsive differential equations, matrix convergent to zero, generalized Banach space, fixed point