含多滞量的非线性中立型差分方程的振动准则

本文研究了较为一般的含有多个滞量的非线性中立型差分方程的振动性，得到了该类方程振动的一个充要条件．  

带有多个变滞量的二阶中立型差分方程振动性判据

研究了一类较广泛的带有多个变滞量的变系数的二阶中立型差分方程的振动性 ,给出了该类方程振动及差分算子△振动的判据 .  

带有多变滞量的高阶非线性中立型差分方程的振动性判据

研究了较为广泛的一类带有多个变滞量的高阶非线性中立型差分方程的振动性，建 立了这类方程振动的一个充要条件和一个充分条件．  

二阶非线性中立型时滞差分方程的振动性

研究了一类具有多个变滞量的变系数的二阶非线性中立型时滞差分方程的振动性,得到了该类方程振动及其解的一阶差分振动的充分条件,推广了现有文献中的某些结果.  

Almost periodic solutions of differential equations with piecewise constant argument of generalized type

We consider the existence and stability of an almost periodic solution of the following hybrid system:

(1)

where if θ_i≤t<θ_i+1,i=…−2,−1,0,1,2,…, is an identification function, θ_i is a strictly ordered sequence of real numbers, unbounded on the left and on the right, p_j,j=1,2,…,m, are fixed integers, and the linear homogeneous system associated with (1) satisfies exponential dichotomy. The deviations of the argument are not restricted by any sign assumption when existence is considered. A new technique of investigation of equations with piecewise argument, based on integral representation, is developed.  

具多滞量和正负系数中立型微分方程解的渐近性质

该文考虑多滞量和正负系数中立型方程[x(t)-sum from n=1 to l(1/n)C_A(t)x(t-r_n)] sum from i=1 to (1/i)P_i(t)x()t-τ_i)-sum from j=1 to n(1/j)Q_j(t)x(t-σ_j)=0,其中C_A(k=1,…,l),P_i(i=1,…,m),Q_j(j=1…,n)∈C([to,∞co),R~ ),0≤τ_l<…<τ_m,0≤σ_1<…<σ_n,0相似文献

一类具多滞量的二阶中立型差分方程的振动定理

研究了一类具有多个滞量的变系数的二阶中立型差分方程的振动性,给出了该类方程振动及差分算子振动的充分条件。  

ON WINTNER TYPE GLOBAL EXISTENCE THEOREMS FOR CERTAIN INTEGRODIFFERENTIAL EQUATIONS

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A note on Nasr's and Wong's papers

In the case of oscillatory potentials, we give sufficient conditions for the oscillation of the forced nonlinear second order differential equations with delayed argument in the form

  

具有时滞的非线性强迫微分方程振动的充分必要条件

对于一类特殊的具有时滞的二阶次线性强迫微分方程x"(t) +a (t)|x(τ(t))|γsgnx(τ(t)) =g(t)(0＜τ＜1),给出了它的所有解振动的一个充要条件.