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Part of the book series: Mathematics and Its Applications ((MAIA,volume 479))

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Abstract

The method of the Lyapunov function 28 is one of the most effective methods for investigation of ODE dynamics. Efficiency of the Lyapunov function method for ODE is based on the fact that application of Lyapunov’s function allows us to investigate stability of solutions without solving corresponding ODE, and existence of the converse theorems shows its universal nature.

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© 1999 Springer Science+Business Media Dordrecht

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Kim, A.V. (1999). The Problem Statement. In: Functional Differential Equations. Mathematics and Its Applications, vol 479. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1630-7_6

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  • DOI: https://doi.org/10.1007/978-94-017-1630-7_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5211-7

  • Online ISBN: 978-94-017-1630-7

  • eBook Packages: Springer Book Archive

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