【摘要】 给出了平凡解弱渐近稳定定义及在已知导函数 d Vdt负定的情况下 ,通过 V( t,x)函数的符号性质来判定微分方程平凡解的弱渐近稳定性与不稳定性 ,并举例说明定理的应用 .更多还原

【Abstract】 Definition of weak asymptotic stable and a new method for weak asymptotic stability and instability of nonautonomous systems are given. When function dVdt is given to be negative definite, the weak asymptotic stability and instability of the given system is obtained by Liapunov′ function V. Some examples are given to illustrate the Theorem.更多还原