一类非线性中立型差分方程的振动性和非振动性

Oscillation and Nonoscillation of an Nonlinear Neutral Difference Equation

考虑下列非线性中立型差分方程 △(x_n-p_nx_(n-k))+f(n,x_(n-1))=0, n=0,1,2…… 建立了当P_n-1振动且通常的发散条件sum from n=0 to ∝(f(n,c))=∝对c>0不成立时,上述方程所有解振动和非振动的解存在的几个新的充分性条件。

Consider the nonlinear neutral difference equation: We establish several new sufficient condition for the oscillation of all solutions and the existence of a nonosicillatory solution when pn - 1 is allowed to oscilate and the usual divergent condition (n, c) = for any c>0 is not satisfied.