Stability of Linear Delay Differential Equations A Numerical Approach with MATLAB

Many problems of growing interest in science, engineering, biology, and medicine are modeled with systems of differential equations involving delay terms. In gen eral, the presence of the delay in a model increases its reliability in describing the relevant real phenomena and predicting its behav...

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Bibliografiske detaljer
Những tác giả chính: Breda, Dimitri, Maset, Stefano, Vermiglio, Rossana
Format: Bog
Sprog:English
Udgivet: Springer 2015
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Online adgang:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57235
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Beskrivelse
Summary:Many problems of growing interest in science, engineering, biology, and medicine are modeled with systems of differential equations involving delay terms. In gen eral, the presence of the delay in a model increases its reliability in describing the relevant real phenomena and predicting its behavior. Besides, the introduction of history in the evolution law of a system also augments its complexity since, opposite to Ordinary Differential Equations (ODEs), Delay Differential Equations (DDEs) represent infinite dimensional dynamical systems. Thus their time inte gration and the study of their stability properties require much more effort, together with efficient numerical methods...