Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays

By Shuangshuang Li, Linxin Shu, Xiao-Bao Shu, Fei Xu. Stochastics, 2018

93 citations recorded by the source corpus.

ABSTRACT In this paper, we investigate the existence and Hyers-Ulam stability for random impulsive stochastic functional differential equations with finite delays. Firstly, we prove the existence of mild solutions to the equations by using Krasnoselskii's fixed point. Then, we investigate the Hyers-Ulam stability results under the Lipschitz condition on a bounded and closed interval. Finally, an example is given to illustrate our results.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/1776d079bb0b7dbadd222bddc751128fa65bd295

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Yuchen Guo
2. Fei Xu
3. Xiao-Bao Shu

In Modeling and Simulation

1. Mengqi Chen
2. Yuchen Guo
3. Fei Xu
4. Xiao-Bao Shu

Citations in the corpus

• The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm (2020, background): “Suppose for arbitrary e > 0, y(t) is a stochastic process satisfying the above inequality (see [64]).”