Existence of Nontrivial Solutions for Fractional Differential Equations with p-Laplacian

被引：7

作者：

Zhang, Li ^{[1
]}

Wang, Fanglei ^{[1
]}

Ru, Yuanfang ^{[2
]}

机构：

[1] Hohai Univ, Coll Sci, Dept Math, Nanjing 210098, Jiangsu, Peoples R China

[2] China Pharmaceut Univ, Coll Sci, Nanjing 211198, Jiangsu, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2019年 / 2019卷

关键词：

HYERS-ULAM STABILITY; POSITIVE SOLUTIONS; MULTIPLICITY; BIFURCATION;

D O I：

10.1155/2019/3486410

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Combining the properties of the Green function with some point theorems, we consider the existence of nontrivial solutions for fractional equations with p-Laplacian operator D-0+(beta)phi(p)[D-0+(alpha)(p(t)u'(t))] + f(t,u(t)) = 0, 0 < t < 1, au(0) - bp(0)u'(0) = 0, and cu(1) + dp(1)u'(1) = 0, D-0+(alpha)(p(t)u'(t))vertical bar(t=0) = 0, where a, b, c, d are constants and p(center dot) : [0, 1] -> (0, +infinity) is continuous.

引用

页数：12

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