Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation

Joint Authors

Shen, L. J.
Sun, J. T.

Source

Abstract and Applied Analysis

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-11-20

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

This paper investigates the existence and uniqueness of mild solutions to the general nonlinear stochastic impulsive differential equations.

By using Schaefer's fixed theorem and stochastic analysis technique, we propose sufficient conditions on existence and uniqueness of solution for stochastic differential equations with impulses.

An example is also discussed to illustrate the effectiveness of the obtained results.

American Psychological Association (APA)

Shen, L. J.& Sun, J. T.. 2011. Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-472479

Modern Language Association (MLA)

Shen, L. J.& Sun, J. T.. Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation. Abstract and Applied Analysis No. 2011 (2011), pp.1-10.
https://search.emarefa.net/detail/BIM-472479

American Medical Association (AMA)

Shen, L. J.& Sun, J. T.. Existence and Uniqueness of Mild Solutions for Nonlinear Stochastic Impulsive Differential Equation. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-10.
https://search.emarefa.net/detail/BIM-472479

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-472479