具有连续变量高阶非线性差分方程振动性的充要条件与非振动性的必要条件

摘要

Using the method of amalysis,we investigate the oscillation and nonoscillation of soulutions to a class of higher oder nonlinear difference equations with continuous arguments.Necessary conditions for the nonoscillation,neessary and sufficient conditions for the oscillation are obtained.The results extend and improve some known results.%利用分析方法的技巧,研究了一类具有连续变量的高阶非线性差分方程的振动性与非振动性,得到了这类方程存在非振动解的必要条件与振动解的充要条件.所得结论推广和改进有关文献的结论.