不稳定型差分方程非振动解的分类和有界解的振动性

The classification of nonoscillatory solutions and the oscillation behavior of bounded solution for the unstable difference equations

讨论了不稳定中立型差分方程的振动性.分析了方程所有非振动解的类型,利用Lebesgue控制收敛定理研究了各种类型非振动解的存在性,得到所有有界解振动的充要条件.

In this paper,oscillation of the unstable neutral sification of nonoscillatory solutions is analysed and the existe studied by using Lebesgue＇s dominated convergence theorem, obtained as well for the eoscillation behavior of bounded solut differencee quations is discussded. The clasnee of every type nonoscillatory solutions is some sufficient and necessary condition are ion.