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Algebraic unsolvability of the problem of lyapunov stability and the problem of topological classification of singular points of an analytic system of differential equations

โœ Scribed by V. I. Arnol'd

Publisher
Springer US
Year
1971
Tongue
English
Weight
621 KB
Volume
4
Category
Article
ISSN
0016-2663

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Constant-sign Lyapunov functionals in the problem of the stability of a functional differential equation
โœ S.V. Pavlikov ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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