A positive fixed point theorem with applications to systems of Hammerstein integral equations

Boundary value problems

Alberto Cabada²  Jos ngel Cid⁵  Gennaro Infante⁶ 

[1] della Calabria, Cosenza, Italy;Departamento de AnáDepartamento de MatemáDipartimento di Matematica e Informatica, Universitàlise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Spain;ticas, Universidade de Vigo, Ourense, Spain

关键词: cone;    boundary value problem;    fixed point index;    positive solution;    nonlocal boundary condition;    system;   

DOI  :  10.1186/s13661-014-0254-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions for systems of nonlinear Hammerstein integral equations. An example is also presented to show the applicability of our results. MSC: 47H10, 34B10, 34B18, 45G15, 47H30.

【 授权许可】

CC BY