Existence and global attractivity of periodic solution for impulsive stochastic Volterra-Levin equations

• Main Authors: Dingshi Li, Daoyi Xu
• Format: Article
• Language: English
• Published: University of Szeged 2012-06-01
• Series: Electronic Journal of Qualitative Theory of Differential Equations
• Subjects: periodic solution; volterra-levin; stochastic; impulsive; global attractivity
• Online Access: http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=1288

In this paper, we consider a class of impulsive stochastic Volterra-Levin equations. By establishing a new integral inequality, some sufficient conditions for the existence and global attractivity of periodic solution for impulsive stochastic Volterra-Levin equations are given. Our results imply that under the appropriate linear periodic impulsive perturbations, the impulsive stochastic Volterra-Levin equations preserve the original periodic property of the nonimpulsive stochastic Volterra-Levin equations. An example is provided to show the effectiveness of the theoretical results.