New criteria for the existence of non-trivial fixed points in cones

Fixexd point theory and applications

Alberto Cabada²  Gennaro Infante³  José⁵  Á⁶  ngel Cid⁷ 

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

关键词: Krasnosel’skiÄ­ fixed point theorem;    positive solutions;    conical shells;    multiplicity;   

DOI  :  10.1186/1687-1812-2013-125

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We give new criteria for the existence of nontrivial fixed points on cones assuming some monotonicity of the operator on a suitable conical shell. Moreover, we give an application to the existence of multiple solutions for a nonlocal boundary value problem that models the displacement of a beam subject to some feedback controllers. MSC:47H10, 34B10, 34B18.

【 授权许可】

CC BY