测度链上p-Laplacian三点边值问题解的存在性

Existence of a solution to three-point BVPs for p-Laplacian dynamic equations on time scales

研究了一类p-Laplacian动力边值问题解的存在性,根据推广形式的Mawhin连续引理,给出了边值问题解存在的充分条件.同时,给出了一个实例验证了所得的结果.

The existence of a solution to a p-Laplacian dynamic BVPS on time scales was considered. By using the generalized Mawhin continuous lemma, the existence of solutions to BVPs were also presented. For application, an example was given to illustrate our result.