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An Instability Result to a Certain Vector Differential Equation of the Sixth Order 被引量:1
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作者 Cemil Tunc 《Applied Mathematics》 2012年第9期997-1000,共4页
The nonlinear vector differential equation of the sixth order with constant delay is considered in this article. New criteria for instability of the zero solution are established using the Lyapunov-Krasovskii function... The nonlinear vector differential equation of the sixth order with constant delay is considered in this article. New criteria for instability of the zero solution are established using the Lyapunov-Krasovskii functional approach and the differential inequality techniques. The result of this article improves previously known results. 展开更多
关键词 vector Nonlinear differential equation Sixth Order Lyapunov-Krasovskii Functional INSTABILITY delay
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ON THE STABILITY OF SOLUTIONS TO A CERTAIN FOURTH-ORDER VECTOR DELAY DIFFERENTIAL EQUATION
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作者 A.M.A. Abou-El-Ela A.I. Sadek A.M. Mahmoud 《Annals of Differential Equations》 2012年第1期1-10,共10页
In this paper, by constructing a Lyapunov functional, sufficient conditions for the uniform stability of the zero solution to a fourth-order vector delay differential equation are given.
关键词 uniform stability Lyapunov functionals fourth-order vector delay differential equations
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