Topological Methods in Nonlinear Analysis

Asymptotic behavior for nonautonomous functional differential inclusions with measures of noncompactness

Nguyen Van Dac and Tran Dinh Ke

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Abstract

We study the asymptotic behavior of nonautonomous differential inclusions with delays in Banach spaces by analyzing their pullback attractors. Our aim is to give a recipe expressed by measures of noncompactness to prove the asymptotic compactness of the process generated by our system. This approach is effective for various differential systems regardless of the compactness of the semigroup governed by linear part.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 49, Number 2 (2017), 383-400.

Dates
First available in Project Euclid: 14 March 2017

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1489457021

Digital Object Identifier
doi:10.12775/TMNA.2016.078

Mathematical Reviews number (MathSciNet)
MR3670466

Zentralblatt MATH identifier
1370.35062

Citation

Dac, Nguyen Van; Ke, Tran Dinh. Asymptotic behavior for nonautonomous functional differential inclusions with measures of noncompactness. Topol. Methods Nonlinear Anal. 49 (2017), no. 2, 383--400. doi:10.12775/TMNA.2016.078. https://projecteuclid.org/euclid.tmna/1489457021


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