Pseudo Asymptotically Periodic Solutions for Volterra Difference Equations of Convolution Type

Citation:

Zhinan XIA.Pseudo Asymptotically Periodic Solutions for Volterra Difference Equations of Convolution Type[J].Chinese Annals of Mathematics B,2019,40(4):501~514
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Authors:

Zhinan XIA;

Foundation:

This work was supported by the National Natural Science Foundation of China (No.11501507) and the Natural Science Foundation of Zhejiang Province (No.LY19A010013).
Abstract: In this paper, the author studies the existence and uniqueness of discrete pseudo asymptotically periodic solutions for nonlinear Volterra difference equations of convolution type, where the nonlinear perturbation is considered as Lipschitz condition or non-Lipschitz case, respectively. The results are a consequence of application of different fixed point theorems, namely, the contraction mapping principle, the Leray-Schauder alternative theorem and Matkowski's fixed point technique.

Keywords:

Pseudo asymptotically periodic function, Volterra differenceequations, Contraction mapping principle, Leray-Schauder alternativetheorem

Classification:

65Q10, 35B40
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