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Erschienen in:
1999 | OriginalPaper | Buchkapitel
Stability of RDEs with Autonomous Linear Part
verfasst von : V. Kolmanovskii, A. Myshkis
Erschienen in: Introduction to the Theory and Applications of Functional Differential Equations
Verlag: Springer Netherlands
Enthalten in: Professional Book Archive
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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.