Asymptotic stability of impulsive stochastic partial differential equations with infinite delays

By Rathinasamy Sakthivel, Jiaowan Luo. 2009

170 citations recorded by the source corpus.

In this paper, we study the existence and asymptotic stability in pth moment of mild solutions to nonlinear impulsive stochastic partial differential equations with infinite delay. By employing a fixed point approach, sufficient conditions are derived for achieving the required result. These conditions do not require the monotone decreasing behaviour of the delays.

Subfields: Applied Mathematics, Control and Systems Engineering, Finance

View Paper: https://www.semanticscholar.org/paper/c7641f377fb7fc6d3574a7afd594ec39997b2439

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. Rathinasamy Sakthivel
2. Zuomao Yan
3. Hongwu Zhang
4. Nazim Idrisoglu Mahmudov
5. P. Revathi
6. Jerzy Klamka
7. Yuanguo Zhu
8. Tuncer Acar

In Control and Systems Engineering

1. Rathinasamy Sakthivel
2. Zuomao Yan
3. Hongwu Zhang
4. Nazim Idrisoglu Mahmudov
5. P. Revathi
6. Jerzy Klamka
7. J. J. Nieto
8. Krzysztof Rykaczewski

In Finance

1. Zuomao Yan
2. Hongwu Zhang
3. P. Revathi
4. Rathinasamy Sakthivel
5. Nazim Idrisoglu Mahmudov

Citations in the corpus

• Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays (2013, background): “In particular the stability investigation of stochastic differential equations has been investigated by several authors [8–15].”
• ASYMPTOTIC STABILITY OF FRACTIONAL IMPULSIVE NEUTRAL STOCHASTIC PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY (2013, background): “Asymptotic stability; impulsive neutral integro-differential equations; stochastic integro-differential equations; α-resolvent operator. c©2013 Texas State University - San Marcos.”