Multiple positive almost periodic solutions for some nonlinear integral equations

Volume 11, Issue 5, pp 713--722 http://dx.doi.org/10.22436/jnsa.011.05.11

Publication Date: April 05, 2018 Submission Date: November 23, 2016 Revision Date: February 12, 2018 Accteptance Date: February 15, 2018

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Authors

Hui-Sheng Ding - College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, People’s Republic of China. Juan J. Nieto - Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela 15782, Santiago de Compostela, Spain. Qiu-Feng Zou - College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, People’s Republic of China.

Abstract

This paper is concerned with the existence of multiple positive almost periodic solutions for a nonlinear integral equation. By using Avery-Henderson and Leggett-Williams multiple fixed point theorems on cones, the existence theorems of multiple positive almost periodic solutions for the addressed integral equation are established under some sufficient assumptions. An example is given to illustrate our results.

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Keywords

• Almost periodic
• multiple solutions
• integral equation

MSC

•  45G10
•  34K14

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