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一阶差分方程的非振动性
Nonoscillation of the First Difference Equations
【摘要】 本文讨论了中立型差分方程的非振动性。首先根据非振动解的渐近性质把非振动解分成两类。其次分别给出存在这两类非振动解的充分条件。最后给出例子说明定理的应用。
【Abstract】 In this paper,the nonoscillation of certain neutral difference equations are studied.First of all,nonoscillatory solutions of the equations are divided into two kinds according to their asymptotic behavior.Secondly,sufficient conditions are obtained for the existence of two kinds of nonoscillatory solutions of the equations respectively.In the end,the example is given to illustrate the application of the theorems.
【关键词】 中立型差分方程;
非振动解;
渐近性质;
周期函数;
【Key words】 neutral difference equation; nonoscillatory solution; asymptotic behavior; periodic function;
【Key words】 neutral difference equation; nonoscillatory solution; asymptotic behavior; periodic function;
- 【文献出处】 莱阳农学院学报 ,Journal of Laiyang Agricultural College , 编辑部邮箱 ,2006年01期
- 【分类号】O175.7
- 【被引频次】1
- 【下载频次】46