Global Attractor for Second-Order Nonlinear Evolution Differential Inclusions

In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by implementing the measure of noncompactness, t...

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Bibliographic Details
Main Authors: Guangwang Su, Funing Lin
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/5578503
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Summary:In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by implementing the measure of noncompactness, the existence of global attractor associated with m-semiflow is validated. Finally, a concrete application of the main result is demonstrated to enhance the practical signification.
ISSN:1076-2787
1099-0526