Boundedness analysis of stochastic integro-differential systems with Levy noise

This paper is concerned with the pth moment globally exponential ultimate boundedness of stochastic integro-differential systems with Levy noise. With the help of the Lyapunov function methods and the inequality techniques, several sufficient criteria on the exponential ultimate boundedness are presented for the systems. The results show that the boundedness was determined by the coefficients in the estimation of the Ito operator of the energy function V along the trajectories of the addressed systems.