SOLVABILITY OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS AT RESONANCE

被引：0

作者：

Ji, Yude ^{[1
]}

Jiang, Weihua ^{[2
]}

Qiu, Jiqing ^{[2
]}

机构：

[1] Hebei Normal Univ, Coll Math & Sci Informat, Hebei 050024, Peoples R China

[2] Hebei Univ Sci & Technol, Coll Sci, Shijiazhuang 050018, Hebei, Peoples R China

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2013年 / 42卷 / 02期

关键词：

Fractional differential equation; integral boundary conditions; resonance; coincidence degree theory; EXISTENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the coincidence degree theory due to Mawhin and constructing suitable operators, some sufficient conditions for the existence of solution for a class of fractional differential equations with integral boundary conditions at resonance are established, which are complement of previously known results. The interesting point is that we shall deal with the case dim Ker L = 2, which will cause some difficulties in constructing the projector Q. An example is given to illustrate our result.

引用

页码：461 / 479

页数：19

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