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Existence results of stochastic impulsive systems with expectations-dependent nonlinear terms.

Authors :
Shen, Lijuan
Wu, Qidi
Source :
Mathematical Methods in the Applied Sciences. Sep2015, Vol. 38 Issue 13, p2731-2738. 8p.
Publication Year :
2015

Abstract

In this paper, sufficient conditions are established for the existence and uniqueness of global solutions to stochastic impulsive systems with expectations in the nonlinear terms. The maximal interval and the estimate of mild solutions are also discussed. These results are obtained by using the fixed point theorem, interval partition, and Lyapunov-like technique. Finally, examples are given to illustrate the theory. Copyright © 2014 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01704214
Volume :
38
Issue :
13
Database :
Academic Search Index
Journal :
Mathematical Methods in the Applied Sciences
Publication Type :
Academic Journal
Accession number :
108561411
Full Text :
https://doi.org/10.1002/mma.3256