VARIATIONAL METHODS TO THE p-LAPLACIAN TYPE NONLINEAR FRACTIONAL ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH STURM-LIOUVILLE BOUNDARY-VALUE PROBLEM

被引：12

作者：

Min, Dandan ^{[1
]}

Chen, Fangqi ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Peoples R China

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2021年 / 24卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Key Words and Phrases; Sturm-Liouville boundary-value problem; vari-ational method; impulsive effects; p-Laplacian operator; EXISTENCE; MULTIPLICITY; SYSTEM;

D O I：

10.1515/fca-2021-0046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a class of nonlinear fractional impulsive differential equation involving Sturm-Liouville boundary-value conditions and p-Laplacian operator. By making use of critical point theorem and variational methods, some new criteria are given to guarantee that the considered problem has infinitely many solutions. Our results extend some recent results and the conditions of assumptions are easily verified. Finally, an example is given as an application of our fundamental results.

引用

页码：1069 / 1093

页数：25

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