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Instability for functional differential equations

✍ Scribed by John R. Haddock; Jiaxiang Zhao

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
170 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper, we extend the study on instability in [11] to autonomous functional differential equations with infinite delay by means of Liapunov–Razumikhin techniques, and to nonautonomous functional differential equations with finite or infinite delay via limiting equations. Examples are used throughout the paper for illustrations. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

πŸ“œ SIMILAR VOLUMES

Comparison Theorems for Functional Diffe
Comparison Theorems for Functional Differential Equations
✍ Jozef DΕΎurina πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 374 KB

## Abstract Our aim in this paper is to obtain the comparison principles which extend those of Grace and LALLI. The equations. L~n~u(t)Β±f(t, u[g(t)]= 0 are compared with the equations. M~n~u(t)Β±z(t)h([Ο„(t)])= 0.