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Positive almost periodic solutions to integral equations with superlinear perturbations via a new fixed point theorem in cones
oleh: Jing-Yun Zhao, Hui-Sheng Ding, Gaston M. N'Guerekata
Format: | Article |
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Diterbitkan: | Texas State University 2017-01-01 |
Deskripsi
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.