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

被引：0
|
作者：
Alessandro Calamai
Gennaro Infante
机构：
[1] Università Politecnica delle Marche,Dipartimento di Ingegneria Industriale e Scienze Matematiche
[2] Università della Calabria,Dipartimento di Matematica e Informatica
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2016年 / 195卷
关键词：
Fixed point index; Affine cone; Nontrivial solution; Retarded functional differential equation; Nonlocal boundary condition; Primary 34K10; Secondary 34B10; 34B18; 47H10;
D O I：
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中图分类号：
学科分类号：
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.
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页码：741 / 756
页数：15
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