Boundedness Of Certain System Of Second Order Differential Equations
KRAGUJEVAC JOURNAL OF MATHEMATICS(2021)
摘要
This work is concerned with the ultimate boundedness of solutions of the system of vector differential equations(X)over dot = H(Y), (Y)over dot = -F(X, Y)Y - G(X) + P(t, X, Y),where t is an element of R+, X = X(t), Y = Y(t) is an element of R-n, F : R-n x R-n -> R-nxn, G, H : R-n -> R-n and P : R+ x R-n x R-n -> R-n. By using a Lyapunov function as a basic technique, we prove that the solutions of the system of equations are ultimately bounded. In addition, result obtained includes and improves some related results in literature.
更多查看译文
关键词
Boundedness, Lyapunov function, differential equations of second order
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要