Nontrivial solutions of Hammerstein integral equations with reflections

Boundary value problems

Alberto Cabada²  Gennaro Infante⁴  Fernando Adrin Fernndez Tojo⁵ 

[1] della Calabria, Arcavacata di Rende, Cosenza, Italy;Departamento de AnáDipartimento di Matematica ed Informatica, Universitàlise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Spain

关键词: fixed point index;    cone;    nontrivial solution;   

DOI  :  10.1186/1687-2770-2013-86

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Using the theory of fixed point index, we establish new results for the existence of nonzero solutions of Hammerstein integral equations with reflections. We apply our results to a first-order periodic boundary value problem with reflections. MSC:34K10, 34B15, 34K13.

【 授权许可】

CC BY