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| Pseudo Asymptotically Periodic Solutions for Volterra Difference Equations of Convolution Type |
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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 |
| Page view： 1547
Net amount： 1687 |
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). |
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| 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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