In this paper, we have presented some general necessary and sufficient conditions for the existence of periodic solutions to nonlinear stochastic difference equations on semi-compact topological space. Effective suffi...In this paper, we have presented some general necessary and sufficient conditions for the existence of periodic solutions to nonlinear stochastic difference equations on semi-compact topological space. Effective sufficient conditions in terms of Lyapunov functions are derived for the systems linear in noise.展开更多
文摘In this paper, we have presented some general necessary and sufficient conditions for the existence of periodic solutions to nonlinear stochastic difference equations on semi-compact topological space. Effective sufficient conditions in terms of Lyapunov functions are derived for the systems linear in noise.
