Functional differential equations and Jensen's inequality
type: Item
instance of: scholarly article
title: Functional differential equations and Jensen's inequality
zbMATH Open document ID: 0669.34076
DOI: 10.1016/0022-247X(89)90325-9
author: L. C. Becker
author: Shi Nian Zhang
author: T. A. Burton
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: The authors study various types of stability of the functional differential equations \(x'(t)=F(t,x_ t)\) where \(x_ t(s)=x(t+s),\)- h\(\leq s\leq 0\), and h is a positive constant. The main tool is the Lyapunov functionals. These functionals satisfy certain conditions involving functions which verify Jensen's inequality. Many concrete illustrative examples are given to illustrate the theory.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 4095962
zbMATH Keywords: Lyapunov functionals
zbMATH Keywords: examples
reviewed by: Teodor-Dumitru Havarneanu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4095962