Stability and square integrability of solutions of nonlinear fourth order differential equations

Journal: Bulletin of Computational Applied Mathematics (Bull CompAMa) (Vol.4, No. 1)

Publication Date: 2016-06-30

Authors : Moussadek Remili; Mebrouk Rahmane;

Page : 21-37

Keywords : Lyapunov functional; differential equations of fourth order; uniform asymptotic stability; square integrability;

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Abstract

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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Stability and square integrability of solutions of nonlinear fourth order differential equations

Abstract

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