In this paper,we consider the existence of periodic solutions to a class of second order self-adjoint difference equations.By the least action principle and saddle point theorem in the critical point theory,some new r...In this paper,we consider the existence of periodic solutions to a class of second order self-adjoint difference equations.By the least action principle and saddle point theorem in the critical point theory,some new results are obtained.As an application,we also give two examples to demonstrate our main results.展开更多
A kind of extended first order impulses nonlinear FDE with forcing term is studied in this paper. Several criteria on the oscillations of solutions are given. We find some suitable impulse functions such that all the ...A kind of extended first order impulses nonlinear FDE with forcing term is studied in this paper. Several criteria on the oscillations of solutions are given. We find some suitable impulse functions such that all the solutions of the equation are oscillatory under the impulse control.展开更多
基金supported by Science and Technology Plan Foundation of Guangzhou(No.2006J1-C0341)
文摘In this paper,we consider the existence of periodic solutions to a class of second order self-adjoint difference equations.By the least action principle and saddle point theorem in the critical point theory,some new results are obtained.As an application,we also give two examples to demonstrate our main results.
基金This work is supported by the Science Foundation of Educational Department of Guangdong Province(Z03052).
文摘A kind of extended first order impulses nonlinear FDE with forcing term is studied in this paper. Several criteria on the oscillations of solutions are given. We find some suitable impulse functions such that all the solutions of the equation are oscillatory under the impulse control.