Global attractor for a class of functional differential inclusions with Hille–Yosida operators

Authors: Trần Đình Kế, Đỗ Lân,

https://doi.org/10.1016/j.na.2014.03.006

Publisher, magazine: ,

Publication year: 2014

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Abstract

We study the dynamics for a class of functional differential inclusions whose linear part generates an integrated semigroup. Some techniques of measure of noncompactness are deployed to prove the global solvability and the existence of a compact global attractor for the -semiflow generated by our system. The obtained results generalize recent ones in the same direction.

Tags: Global attractor, Hille–Yosida operator, Measure of noncompactness, Fixed point theory, Condensing map