Global attractor for a class of functional differential inclusions with Hille-Yosida operators. (English) Zbl 1302.35064
Summary: 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 \(m\)-semiflow generated by our system. The obtained results generalize recent ones in the same direction.
MSC:
| 35B41 | Attractors |
| 35K65 | Degenerate parabolic equations |
| 47H10 | Fixed-point theorems |
| 47H08 | Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc. |
Keywords:
global attractor; Hille-Yosida operator; measure of noncompactness; fixed point theory; condensing mapReferences:
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