FIXED POINTS OF HAMMERSTEIN-TYPE EQUATIONS ON GENERAL CONES

被引：8

作者：

Figueroa, Ruben ^{[1
]}

Tojo, F. Adrian F. ^{[1
]}

机构：

[1] Univ Santiago de Compostela, Dept Analise Matemat, Fac Matemat, Santiago De Compostela, Spain

来源：

FIXED POINT THEORY | 2018年 / 19卷 / 02期

关键词：

Cones; fixed points; Hammerstein equations; BOUNDARY-VALUE-PROBLEMS; MULTIPLE POSITIVE SOLUTIONS; ORDERED BANACH-SPACES; EIGENVALUE CRITERIA; ARBITRARY ORDER; NONLOCAL BVP; EXISTENCE; THEOREM;

D O I：

10.24193/fpt-ro.2018.2.45

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain new results on the existence and multiplicity of fixed points of Hammerstein equations in very general cones. In order to achieve this, we combine a new formulation of cones in terms of continuous functionals with fixed point index theory. Many examples and an application to boundary value problems are also included.

引用

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页码：571 / 586

页数：16

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