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
| Language | Label | Description | Also known as |
|---|---|---|---|
| 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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