摘要
对非线性微分系统dxdt =p(y) - φ(x) ,dydt =-q(y)f(x) -g(x)k(y)零解的全局渐近稳定性进行了讨论 ,在不考虑传统的假设f(x)≡ 1,k(y) ≡ 1的前提下 ,得到了上述系统的零解全局渐近稳定的两个新的充分条件 ,推广了Villari,G .
The author discusses the global sysmptotic stability of zero solution of the following nonlinear differential system:dxdt=p(y)-φ(x),dydt=-q(y)f(x)-g(x)k(y) .Two sufficient conditions which judge the zero solution of this system to be globally asymptotic stable are given,the author uses and develops the methods in [1,2],some results in [1,2,3,4] are improved.