SOLVABILITY OF PERIODIC BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATION INVOLVING FRACTIONAL DERIVATIVES

被引：0

作者：

Chen, Taiyong ^{[1
]}

Liu, Wenbin ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

Second-order differential equation; fractional derivative; periodic boundary-value problem; coincidence degree; POSITIVE SOLUTIONS; CALCULUS APPROACH; EXISTENCE; ORDER;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the existence of solutions to periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives. Under certain linear growth condition of the nonlinearity, we obtain solutions, by using coincidence degree theory. An example illustrates our results.

引用

页数：9

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