【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。更多还原

【Abstract】 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.更多还原