一类非线性周期边值问题在共振情况下解的存在性

The Existence of Solution for a Certain Nonlinear Periodic Boundary Value under the Condition of Resonance

本文考虑一个非线性周期边值问题的解的存在性,利用迭合度中的Mawhin延拓定理证明该问题解的存在性。

This paper focuses on the existence of solution for a nonlinear periodic boundary value problem.By making use of the Mawhin continuation theorem of coincidence degree,the author proves the existence of solutions for the problem.