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Published in:
1999 | OriginalPaper | Chapter
Stability of Retarded Differential Equations
Authors : V. Kolmanovskii, A. Myshkis
Published in: Introduction to the Theory and Applications of Functional Differential Equations
Publisher: Springer Netherlands
Included in: Professional Book Archive
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The following four chapters deal with stability problems for FDEs. Stability of a process (in particular, of a stationary state) is the ability of the process to resist a priory unknown, small influences (disturbances). A process is said to be stable if such disturbances do not essentially change it. This property turns out to be of utmost importance. We emphasize that an individual predictable process can be physically realized only if it is stable in the corresponding natural sense.