脉冲Neumann边值问题的新结果

New Results for Neumann Boundary Value Problem with Impulses via Variational Methods

该文研究了脉冲Neumann边值问题三个解的存在性.利用一个最近的三临界点定理,该文建立了一个新的存在性准则保证脉冲Neumann边值问题至少存在三个解,推广和改进了一些最近的结果.此外,给出一些例子来验证主要结果.

In this paper, we study the existence of three solutions for Neumann boundary value problem with impulses. By using a very recent three critical points theorem, we obtain a new criterion for guaranteeing that Neumann boundary value problem with impulses has three solutions. Some recent results are generalized and significantly improved. Some examples are also presented to illustrate our main results.