Existence and exponential stability of second-order neutral stochastic functional differential equations with infinite delay and Poisson jumps

被引：0

作者：

Sastry, M. V. S. S. B. B. K. ^{[1
]}

Deekshitulu, G. V. S. R. ^{[1
]}

机构：

[1] JNTUK, UCEK, Dept Math, Kakinada, AP, India

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2021年 / 45期

关键词：

Existence; stability; stochastic differential equations; infinite delay; Poisson jumps; EVOLUTION-EQUATIONS; UNIQUENESS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we study the existence and uniqueness of mild solutions to second-order neutral stochastic functional differential equations (NSFDEs) with infinite delay and Poisson jumps under global and local Caratheodory conditions by means of the successive approximation. The p-th moment exponential stability of mild solution to second-order NSFDEs with infinite delay and poisson jumps is also studied. Further, example is given to illustrate the proposed theory.

引用

页码：37 / 58

页数：22

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