时间尺度上高阶非线性中立型方程的渐进性及存在性  

Asymptotic properties of positive solations and the existence of positive solations nonlinear neutral funtonal differential equations on time scales

作　　者：刘一龙[1] 

机构地区：[1]邵阳学院理学与信息科学系,湖南邵阳422000

出　　处：《华中师范大学学报（自然科学版）》2012年第4期396-400,405,共6页Journal of Central China Normal University：Natural Sciences

基　　金：国家自然科学基金项目(11071066);湖南省教育厅科研基金资助项目(10C1188)

摘　　要：利用非线性分析中半序方法和增算子不动点定理,对时间尺度上高阶非线性中立型方程正解的渐进进行了详细分类,并且给出了其中两种类型正解存在的充要条件或充分条件.In this paper, by the use of the order methods in nonlinear analysis and the fixed point theorems of increasing operators, the asymptotic properties of positive solutions of higher order nonlin ear neutral functional differential equations on time scales are classified in detail; some sufficient conditions, necessary and sufficient conditions of the existence of positive solutions of higher order nonlinear neutral functional differential equations on time scales are given.

关 键 词：时间尺度 中立型方程 正解 渐进性 存在性 

分 类 号：O175[理学—数学]