机构地区: 长沙铁道学院
出 处: 《数学学报(中文版)》 1998年第6期1273-1282,共10页
摘 要: 本文研究具分布偏差变元非自治微分方程x'(t)=-g(t,x(t))-f(t,x(t+s)du(s))零解的渐近稳定性.方程(1)包含了许多数学生态学方程.文中结论推广和改进了已有文献中相应结果. In the present paper, we study the global asymptotic stability of the zero solution of the nonautonomous differential equation with distributed deviating arguments x'(t) = -g(t, x(t)) - f(t, x(t +s)du(s)) which includes manymathematical ecological equations. Our results generalize and improve the corresponding results given in some known literatures.