Pseudo Asymptotically Periodic Solutions for Volterra Difference Equations of Convolution Type

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...

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Veröffentlicht in:	Chinese annals of mathematics. Serie B 2019-07, Vol.40 (4), p.501-514
1. Verfasser:	Xia, Zhinan
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Sprache:	eng
Schlagworte:	Applications of Mathematics Asymptotic properties Convolution Difference equations Fixed points (mathematics) Lipschitz condition Mapping Mathematical analysis Mathematics Mathematics and Statistics Nonlinear equations Perturbation Theorems
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creator	Xia, Zhinan
description	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.
doi_str_mv	10.1007/s11401-019-0148-2
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subjects	Applications of Mathematics Asymptotic properties Convolution Difference equations Fixed points (mathematics) Lipschitz condition Mapping Mathematical analysis Mathematics Mathematics and Statistics Nonlinear equations Perturbation Theorems
title	Pseudo Asymptotically Periodic Solutions for Volterra Difference Equations of Convolution Type
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