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UNSTABLE SOLUTIONS TO A CLASS OF VECTOR DIFFERENTIAL EQUATIONS OF SIXTH ORDER 被引量：1

UNSTABLE SOLUTIONS TO A CLASS OF VECTOR DIFFERENTIAL EQUATIONS OF SIXTH ORDER
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摘要 In this paper, we consider a class of nonlinear vector differential equations of sixth order. By constructing appropriate Lyapunov functions, the non-existence of periodic solutions is established. Moreover, we provide an example to show the feasibility of our results. Our results extend and improve two related results in the previous literature from scalar cases to vectorial cases. In this paper, we consider a class of nonlinear vector differential equations of sixth order. By constructing appropriate Lyapunov functions, the non-existence of periodic solutions is established. Moreover, we provide an example to show the feasibility of our results. Our results extend and improve two related results in the previous literature from scalar cases to vectorial cases.
作者 Cemil Tun
机构地区 Dept. of Math.
出处 《Annals of Differential Equations》 2014年第3期253-257,共5页 微分方程年刊（英文版）
关键词 non-existence of periodic solutions Lyapunov function nonlinear vector differential equation sixth order non-existence of periodic solutions Lyapunov function nonlinear vector differential equation sixth order
分类号 O241.8 [理学—计算数学]
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Annals of Differential Equations
2014年 第3期

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