Exponential stability of second-order stochastic evolution equations with Poisson jumps |
| |
| Authors: | R Sakthivel Y Ren |
| |
| Institution: | 1. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea;2. Department of Mathematics, Anhui Normal University, Wuhu 241000, China;1. Institute for Intelligent Systems Research and Innovation, Geelong Waurn Ponds Campus, Deakin University, Australia;2. Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, Kalyanpur, Uttar Pradesh, India;3. Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram, Tamil Nadu, India;1. Department of Mathematics and Computer Sciences, Faculty of Arts and Sciences, Izmir University, 35350 Uckuyular, Izmir, Turkey;2. Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey;1. Department of Mathematics, Anna University-Regional Centre, Coimbatore 641047, India;2. Department of Mathematics, Sri Ramakrishna Institute of Technology, Coimbatore 641010, India;3. Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea;4. Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 712-749, Republic of Korea;1. Department of Mathematics, Yunnan University Kunming, Yunnan 650091, People’s Republic of China;2. School of Graduate, Yunnan University Kunming, Yunnan 650091, People’s Republic of China |
| |
| Abstract: | This paper is concerned with the exponential stability problem of second-order nonlinear stochastic evolution equations with Poisson jumps. By using the stochastic analysis theory, a set of novel sufficient conditions are derived for the exponential stability of mild solutions to the second-order nonlinear stochastic differential equations with infinite delay driven by Poisson jumps. An example is provided to demonstrate the effectiveness of the proposed result. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
