Finite-time attractivity for semilinear functional differential inclusions

Abstract

Our aim in this paper is to analyze a sufficient condition ensuring the finite-time attractivity for the solutions to semilinear functional differential inclusions in Banach spaces. The obtained results will be applied to a class of partial differential equations.

Keywords:

• Finite-time attractivity
• fixed point
• measure of noncompactness
• MNC estimate
• differential inclusion
• condensing operator

2010 Mathematics Subject Classifications:

• 35B41
• 37L30
• 47H08
• 47H10

Acknowledgments

The author would like to thank anonymous referees for their careful reading, insightful comments and meaningful supports that help to improve the manuscript. I am grateful to Prof. Tran Dinh Ke for introducing me the subject of this paper, giving me a great encouragement and for his valuable suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).