Stability and square integrability of solutions of nonlinear fourth order differential equations (Q1653951)

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scientific article; zbMATH DE number 6914255
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Stability and square integrability of solutions of nonlinear fourth order differential equations
scientific article; zbMATH DE number 6914255

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    Stability and square integrability of solutions of nonlinear fourth order differential equations (English)
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    7 August 2018
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    Summary: The aim of the present paper is to establish a new result, which guarantees the asymptotic stability of zero solution and square integrability of solutions and their derivatives to nonlinear differential equations of fourth order.
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    Lyapunov functional
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    differential equations of fourth order
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    uniform asymptotic stability
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    square integrability
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