Positive almost periodic solutions to integral equations with superlinear perturbations via a new fixed point theorem in cones
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Date
2017-01-04
Authors
Zhao, Jing-Yun
Ding, Hui-Sheng
N'Guerekata, Gaston
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we establish a new fixed point theorem for nonlinear operators with superlinear perturbations in partially ordered Banach spaces, Then we use the fixed point theorem to prove the existence of positive almost periodic solutions to some integral equations with superlinear perturbations. Also, a concrete example is given to illustrate our results.
Description
Keywords
Almost periodic, Delay integral equation, Positive solution, Superlinear perturbation
Citation
Zhao, J. Y., Ding, H. S., & N'Guérékata, G. (2017). Positive almost periodic solutions to integral equations with superlinear perturbations via a new fixed point theorem in cones. <i>Electronic Journal of Differential Equations, 2017</i>(02), pp. 1-10.
Rights
Attribution 4.0 International