摘要
由于计算机科学、生物学、控制理论、医学及经济学等自然科学和边缘学科的进一步发展,提出了许多由差分方程描述的具体数学模型,因而对差分方程的研究在理论和实际应用两方面都有重要意义.本文研究了一类高阶非线性中立型时滞差分方程的振动性,利用分析的方法,结合积分中值定理,得到了该方程振动的若干新的充分条件,推广并改进了现有文献中的结果.
With the development of natural science and interdisciplinary subjects such as computer science,biology,control theory,medicine,and economics,many mathematical models need to be described by difference equations,therefore the study of difference equations is of significance in both theory and practical application.In this paper,the oscillation for a class of the higher order nonlinear neutral delay difference equation is studied.Using the method of analysis and the mean value theorem for integral,some new sufficient conditions for the oscillation of the equation are obtained.The results improve and extend some existing results in the literature.
出处
《邵阳学院学报（自然科学版）》
2010年第3期1-5,共5页
Journal of Shaoyang University：Natural Science Edition
基金
湖南省教育厅科研重点项目(No:09A082)
关键词
中立型差分方程
时滞
非线性
振动性
neutral difference equation
delay
nonlinear
oscillation
