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Existence results of stochastic impulsive systems with expectations‐dependent nonlinear terms
Author(s) -
Shen Lijuan,
Wu Qidi
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3256
Subject(s) - mathematics , uniqueness , nonlinear system , interval (graph theory) , lyapunov function , fixed point theorem , partition (number theory) , comparison theorem , mathematical economics , mathematical analysis , combinatorics , physics , quantum mechanics
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.