Introduction to Halanay Lemma, via Weakly Picard Operator Theory

A. Petruşel () and I. A. Rus ()
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A. Petruşel: Babeş-Bolyai University of Cluj-Napoca, Department of Mathematics
I. A. Rus: Babeş-Bolyai University of Cluj-Napoca, Department of Mathematics

A chapter in Approximation Theory and Analytic Inequalities, 2021, pp 379-390 from Springer

Abstract: Abstract In this paper, we present an introduction to Halanay lemma, from the weakly Picard operator theory point of view.

Keywords: Functional differential equations with maxima; Halanay lemma; Halanay-type lemmas; Asymptotic stability; Weakly Picard operator; Abstract Gronwall lemma; Concrete Gronwall lemma; Burton method of progressive contractions; Step by step contraction; 34K20; 34K12; 45D05; 47H10; 47H09. (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-60622-0_20

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DOI: 10.1007/978-3-030-60622-0_20

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