带p-Laplacian算子的分数阶微分方程无穷多点边值问题解的存在性

Existence of Solutions of Fractional p-Laplacian Differential Equation with Infinite-point Boundary Value Conditions

讨论了带有p-Laplacian算子的分数阶微分方程无穷多点边值问题解的存在性,利用Schauder不动点定理和上下解方法得到了方程至少存在一个解的充分条件,最后举例来验证结论的有效性.

This paper is concerned with existence of solutions of a class of infinite-point boundary value problem for fractional differential equations with p Laplacian operator.Suf-ficient condition which guarantees the existence of at least one solution is obtained by using the method of upper and lower solutions together with the Schauder fixed point theorem.As an application,one example is presented to illustrate the result.