一类二阶微分方程的稳定性和有界性  

On the Stability and Boundedness for a Class of Differential Equations of Second Order

作　　者：辜建德[1] 俞元洪[2] 

机构地区：[1]厦门大学系统科学系 [2]中国科学院应用数学所

出　　处：《厦门大学学报（自然科学版）》1993年第5期533-536,共4页Journal of Xiamen University：Natural Science

摘　　要：考虑含分段常数变元的微分方程x(t)-ax(2[(t+1)/2])=0,其中a是实数,[]表示最大整数函数,给出该方程的零解非渐近稳定的充分条件以及方程只有有界解的充要条件。The differential equation with piecewise constant argumentx(t)+ax(2[(t+1)/2])=0 is considered, where a is a real number, [ · ] denotes the greatest integer function. A sufficient condition for Nonasymptotic stability of trivial solution as well as a sufficient and necessary condition for boundedness of all solutions of the equation are given.

关 键 词：稳定性 有界性 微分方程 

分 类 号：O175[理学—数学]