Multiple positive almost periodic solutions for some nonlinear integral equations

Ding, Hui-Sheng ¹ ; Nieto, Juan J. ² ; Zou, Qiu-Feng ¹

¹ College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, People’s Republic of China
² Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela 15782, Santiago de Compostela, Spain

Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 5, p. 713-722.

Résumé

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.

Détail

DOI : 10.22436/jnsa.011.05.11

Classification : 45G10, 34K14
Keywords: Almost periodic, multiple solutions, integral equation

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