一类时滞微分方程解的渐近性

On the Asymptotic Behavior of the Solution to Some Retarded Differential Equations

讨论了方程L_nX(T)+sum from j=0 to m( )b_j(t)f_j(X(t-τ_i(t)))=P(t)≠0(j=0,…m)时解的渐近性质,给出了解有界及解趋于零的判定准则(其中L_n*=1/P_n(t)d/dt1/P_(n-1)(t)…d/dt1/p_1(t)d/dt*/p_0(t))

Some criteria for the asymptotic behavior （such as boundness and tending to zero） of the solution of the equation LnX（T）＋∑j=0^m bj（t）fj（X（t-τj（t）））=P（t） are established （ here Ln^＊=1/Pn（t）d/dt1/P（n-1）（t）…d/dt1/p1（t）d/dt＊/p0（t））.