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Stability, existence and non-existence of \(T\)-periodic solutions of nonlinear delayed differential equations with \(\varphi\)-Laplacian - MaRDI portal

Stability, existence and non-existence of \(T\)-periodic solutions of nonlinear delayed differential equations with \(\varphi\)-Laplacian (Q2087550)

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scientific article; zbMATH DE number 7604661
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English
Stability, existence and non-existence of \(T\)-periodic solutions of nonlinear delayed differential equations with \(\varphi\)-Laplacian
scientific article; zbMATH DE number 7604661

    Statements

    Stability, existence and non-existence of \(T\)-periodic solutions of nonlinear delayed differential equations with \(\varphi\)-Laplacian (English)
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    21 October 2022
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    New results concerning the global stability, boundedness of solutions, existence and non-existence of \(T\)-periodic solutions for a class of delayed differential equation with a \(\varphi\)-Laplacian operator are obtained. The main tool is a Lyapunov-Krasovskii functional. An application is given for the well known sunflower equation.
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    differential equations with delay
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    \(\varphi\)-Laplacian
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    Lyapunov-Krasovskii functional
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    global stability
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    boundedness
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    periodic solutions
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