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Stability of RDEs with Autonomous Linear Part

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 463))

Abstract

General methods for stability analysis, described previously, can be essentially modified for particular clases of FDEs. One of these classes is considered in this chapter. This class consist of nonlinear RDEs with autonomous linear parts. Explicit stability conditions are proposed. They are formulated in terms of the roots of the characteristics polynomials and based on an estimate for the matrix resolvent.

This chapter is written jointly with Prof. M.I. Gil’ (Ben Gurion University).

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© 1999 Springer Science+Business Media Dordrecht

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Kolmanovskii, V., Myshkis, A. (1999). Stability of RDEs with Autonomous Linear Part. In: Introduction to the Theory and Applications of Functional Differential Equations. Mathematics and Its Applications, vol 463. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1965-0_5

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  • DOI: https://doi.org/10.1007/978-94-017-1965-0_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5148-6

  • Online ISBN: 978-94-017-1965-0

  • eBook Packages: Springer Book Archive

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