UNSTABLE SOLUTIONS TO A CLASS OF VECTOR DIFFERENTIAL EQUATIONS OF SIXTH ORDER

• 作者: Cemil Tun
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 向量微分方程 LYAPUNOV函数 稳定解 矢量微分方程 非线性 周期解 标量
• 年，卷（期）: 2014,（3）
• 页码范围: 253-257
• 页数: 5页
• 分类号: O175.8

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.