具有连续变量高阶差分方程的振动性

摘要

利用分析法和Banach不动点原理,研究了一类具有连续变量的高阶差分方程的振动性,得到了这类方程的有界正解和解振动的充分条件.%Oscillation criteria for a family of high-order difference equations with continuous arguments was investigated by using some analysis techniques and the fixed point theorem in Banach space. Some sufficient conditions for the bounded positive solutions and oscillations of the equation were obtained.