一类高阶非线性中立型差分方程正解的存在性  

Existence of positive solutions for a class of higher order nonlinear neutral difference equations

作　　者：贺铁山[1] 

机构地区：[1]仲恺农业技术学院计算科学系,广东广州510225

出　　处：《合肥工业大学学报（自然科学版）》2006年第7期924-928,共5页Journal of Hefei University of Technology：Natural Science

基　　金：广东省教育厅自然科学基金资助项目(z03052)

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。该文研究了一类比较广泛的高阶非线性中立型差分方程正解的存在性;利用非线性泛函分析中的knaster和kras-noselskii不动点定理,通过构造不同的算子,获得了该类方程存在有界正解的几个充分条件。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. This paper is concerned with the existence of positive solutions for a class of higher order nonlinear neutral difference equations. Some sufficient conditions under which such equation has a bounded positive solution are obtained by introducing different operators and using the Knaster fixed point theorem and the Krasnoselskii fixed point theorem in nonlinear functional analysis.

关 键 词：高阶非线性中立型差分方程 存在性 有界正解 

分 类 号：O175.7[理学—数学]