l 主要结果考虑微分差分方程x′(t)+px(t-1)+qx([t-1])=0,(1)其中p,q∈(0,+∞),[·]是最大取整函数.关于方程(1)振动性的讨论,已有了一些很好的结果,但到目前为止,还未见方程(l)振动的充要条件.1991年,Gyori和Ladas把它作为一个公...l 主要结果考虑微分差分方程x′(t)+px(t-1)+qx([t-1])=0,(1)其中p,q∈(0,+∞),[·]是最大取整函数.关于方程(1)振动性的讨论,已有了一些很好的结果,但到目前为止,还未见方程(l)振动的充要条件.1991年,Gyori和Ladas把它作为一个公开问题提了出来.本文利用修改z变换,得到了方程(l)的特征方程,从而彻底回答了这个问题.展开更多
本文讨论带有偏差变量的微分方程的振动性,对于形如x＇(t)+p(t)x(t-τ)+q(t)x([t-k])=0和X＇(t)+sum from i=1 to m pi(t)x(t-τ_i)+sum from i=1 to m qj(t)x([t-k_j])=0的微分方程,得出了几个振动性的判别准则。其中[·]是最大取...本文讨论带有偏差变量的微分方程的振动性,对于形如x＇(t)+p(t)x(t-τ)+q(t)x([t-k])=0和X＇(t)+sum from i=1 to m pi(t)x(t-τ_i)+sum from i=1 to m qj(t)x([t-k_j])=0的微分方程,得出了几个振动性的判别准则。其中[·]是最大取整函数。展开更多
1 Main results Consider the differential-differenee equaionx’(t)+px(t-1)+qx([t-1]) =0, (1)where p,q∈(0,∞) and[] denotes the greatst-integer function. Recently the oscillations of eq. (1) have been discussed and sev...1 Main results Consider the differential-differenee equaionx’(t)+px(t-1)+qx([t-1]) =0, (1)where p,q∈(0,∞) and[] denotes the greatst-integer function. Recently the oscillations of eq. (1) have been discussed and several very interesting re-sults have been established. However, up to date there exists no literature on展开更多
文摘本文讨论带有偏差变量的微分方程的振动性,对于形如x＇(t)+p(t)x(t-τ)+q(t)x([t-k])=0和X＇(t)+sum from i=1 to m pi(t)x(t-τ_i)+sum from i=1 to m qj(t)x([t-k_j])=0的微分方程,得出了几个振动性的判别准则。其中[·]是最大取整函数。
基金Science Foundation of Shanxi Province for the YoungScience Foundation of Taiyuan Heavy Machinary Institute.
文摘1 Main results Consider the differential-differenee equaionx’(t)+px(t-1)+qx([t-1]) =0, (1)where p,q∈(0,∞) and[] denotes the greatst-integer function. Recently the oscillations of eq. (1) have been discussed and several very interesting re-sults have been established. However, up to date there exists no literature on
