EXISTENCE OF SOLUTIONS TO 2m-ORDER PERIODIC BOUNDARY VALUE PROBLEM

In this paper, we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem. By the infinite dimensional Morse theory, under some conditions on nonlinear term, we obtain that there exist at least two nontrivial solutions.     

Existence and uniqueness for higher order periodic boundary value problems under spectral separation conditions

This paper deals with the existence and uniqueness for the nth-order periodic boundary value problem

     

中立型滞后微分方程的周期边值问题

利用单调迭代方法给出了中立型滞后微分方程的周期边值问题极解的存在性定理．     

PERIODIC BOUNDARY VALUE PROBLEMS FOR DIFFERENTIAL EQUATIONS WITH “SUPREMUM”

In this paper, the monotone iterative method of Lakshmikantham and a comparison result are applied to study a periodic boundary value problem for a nonlinear impulsive differential equation with "supremum" and the existence of maximal and minimal solutions are obtained.