一类具有p-Laplacian算子的分数阶差分方程边值问题的正解

Abstract

Abstract:

In this paper, we study a class of fractional difference equations boundary value problems with p-Laplacian operator. By virtue of the discrete Jensen inequalities, some relations between the considered problem and the corresponding problem without the p-Laplacian are established, and using the theory of fixed point index, the existence of positive solutions for the considered problem is obtained.

Key words: Fractional difference equations, Boundary value problem, Positive solution, Fixed point index

CLC Number:

O175.15

Jiafa Xu,Honglin Luo,Lishan Liu. Positive Solutions for a Class of Fractional Difference Equations Boundary Value Problems with p-Laplacian Operator[J].Acta mathematica scientia,Series A, 2021, 41(2): 402-414.

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References 22

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Positive Solutions for a Class of Fractional Difference Equations Boundary Value Problems with p-Laplacian Operator

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