高阶中立型微分方程非振动解的存在性  

The Existence of Nonoscillatory Solutions of Higher Order Neutral Differential Equation

作　　者：邢海芳[1] 杨晋[1] 

机构地区：[1]太原理工大学数学学院,太原030024

出　　处：《太原理工大学学报》2015年第4期474-479,共6页Journal of Taiyuan University of Technology

基　　金：国家自然科学基金项目:牙种植技术中的多参数识别问题的计算方法(11401423)

摘　　要：运用Banach压缩映像原理,得到了当系数p(t)在不同范围内变化时方程非振动解存在的充分条件。文中结论推广和改进了文献的相应结果,并给出两个事例说明结论的适用性。The Banaeh contraction principle was used to obtain new sufficient conditions for the existence of nonoscillatory solutions. It proves that there exist nonoscillatory solutions when the coefficient p（t） changes in different ranges. The results of this paper imorove the conclusion of preuious study. We give two examples to illustrate the applicability of our result.

关 键 词：中立型微分方程 Banach压缩映像原理 非振动解 

分 类 号：O241.81[理学—计算数学]