Stability result of the Kawahara equation with localized damping and time-varying delay (Q6657895)
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scientific article; zbMATH DE number 7962662
| Language | Label | Description | Also known as |
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| English | Stability result of the Kawahara equation with localized damping and time-varying delay |
scientific article; zbMATH DE number 7962662 |
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Stability result of the Kawahara equation with localized damping and time-varying delay (English)
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7 January 2025
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A boundary value problem for Kawahara's partial differential equation, a one-dimensional semilinear fifth-order equation, is considered in presence of time-varying delay. An associated linear equation is introduced. Existence and uniqueness of the solution is proved under suitable assumptions. By using a Lyapounov function, exponential stability of the equation is shown.
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Kawahara
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stabilization
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time-varying delay
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Lyapunov function
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