Convergence and stability of stochastic parabolic functional differential equations

被引：0
|
作者：
Zhao Li
Shuyong Li
机构：
[1] Sichuan Normal University,College of Mathematics and Software Science
[2] Mianyang Teachers’ College,undefined
来源：
Advances in Difference Equations | / 2018卷
关键词：
Stochastic parabolic functional differential equations; Comparison theorem; Functional differential equation; Convergence; Stability;
D O I：
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摘要：
The main purpose of this paper is to investigate the convergence and stability of stochastic parabolic functional differential equations. Firstly, a comparison theorem in the context of Lyapunov-like function together with differential inequality is established. Secondly, various criteria for the convergence and stability are obtained on the basis of the comparison theorem and stochastic analysis techniques. Finally, two examples are provided to illustrate the significance of the theoretical results.
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