【摘要】 证明了在一定条件下,具有可变时滞的非线性非自治差分方程的全局渐近稳定性可由某种线性差分方程的渐近稳定性确定,给出了这类差分方程全局渐近稳定的充分条件.作为实例,获得了具有可变时滞的离散型非自治广义Log istic方程的全局吸收性判别准则.更多还原

【Abstract】 Some criteria of global asymptotic stability for a class of nonlinear nonautonomous difference equations with variable delay are obtained.The linearized stability theorem for these equations is established.These results are applied to the discrete extended nonautonomous Logistic equations with variable delay,the sufficient condition of global attractivity for these equations is obtained.更多还原