The \(V\)-functional method for the stability of degenerate differential systems with delays (Q2720021)

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scientific article; zbMATH DE number 1610517
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The \(V\)-functional method for the stability of degenerate differential systems with delays
scientific article; zbMATH DE number 1610517

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    15 October 2002
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    degenerate differential systems with delays
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    autonomous degenerate systems
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    The \(V\)-functional method for the stability of degenerate differential systems with delays (English)
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    The authors give a \(V\)-functional criterion for the stability of general autonomous degenerate differential systems with delay. Using a specific form of a \(V\)-functional similar results are given for mixed systems consisting of difference-differential equations and difference equations. Necessary and sufficient stability conditions for two-dimensional degenerate systems are given as well. Two illustrative examples are discussed.
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