具有p-Laplacian算子的分数阶差分方程上的Lyapunov型不等式

Lyapunov-type Inequalities for Fractional Difference Equations with p-Laplacian Operator

研究了具有p-Laplacian算子的分数阶差分方程上的Lyapunov型不等式.利用Green函数及其相关性质,得到一些新的Lyapunov型不等式,并将结果运用到了相应的特征值问题和方程解的存在性问题上.

In this article,we present some new Lyapunov-type inequalities for fractional difference equations with p-Laplacian operator.The Green′s function and the related properties play important roles in our proof.The obtained results are used to derive the lower bounds for the eigenvalues of corresponding equations and establish the existence of solutions for certain fractional boundary value problems.