一类非线性微分方程系统解的有界性

Boundedness of Solutions for Some Nonlinear Differential Systems

研究了一类非线性微分方程系统 :x .=p( y) - F( x) ,y .=- q( y) g( x)的解的有界性问题 .运用单调轨方法 。

This paper studied the following nonlinear differential system:=p(y)-F(x),=-q(y)g(x)Using monotone trajectory method, it established the sufficient conditions and the necessary and sufficient conditions on boundedness of solutions for the system.