Nontrivial solutions of boundary value problems for second-order functional differential equations

被引：10

作者：

Calamai, Alessandro ^{[1
]}

Infante, Gennaro ^{[2
]}

机构：

[1] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, Via Brecce Bianche, I-60131 Ancona, Italy

[2] Univ Calabria, Dipartimento Matemat & Informat, I-87036 Cosenza, Italy

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2016年 / 195卷 / 03期

关键词：

Fixed point index; Affine cone; Nontrivial solution; Retarded functional differential equation; Nonlocal boundary condition; POSITIVE SOLUTIONS;

D O I：

10.1007/s10231-015-0487-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine cones. This approach is fairly general and covers a class of nonlocal boundary value problems for functional differential equations. Some examples are given in order to illustrate our theoretical results.

引用

页码：741 / 756

页数：16

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