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The method of Lyapunov functionals in stability analysis of functional-differential equations

✍ Scribed by A. S. Andreev; S. V. Pavlikov


Book ID
110613840
Publisher
SP MAIK Nauka/Interperiodica
Year
2000
Tongue
English
Weight
488 KB
Volume
68
Category
Article
ISSN
0001-4346

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Constant-sign Lyapunov functionals in th
✍ S.V. Pavlikov πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 365 KB

The stability of the zero solution of a non-autonomous functional differential equation of the delayed type is investigated by means of limiting equations and a constant-sign Lyapunov functional, which has a constant-sign derivative. Special cases when the Lyapunov functional and its derivative are