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高阶非线性中立型方程正解的渐近性及存在性
引用本文:韦忠礼,李福义.高阶非线性中立型方程正解的渐近性及存在性[J].系统科学与数学,1996,16(1):064-072.
作者姓名:韦忠礼  李福义
作者单位:山东大学数学系
摘    要:本文利用非线性分析中半序方法和增算子不动点定理,对高阶非线性中立型方程正解的渐近性进行了详细分类,并且给出了各种类型正解存在的充要条件和具体例子.

关 键 词:中立型方程,正解,渐近性,存在性,锥,不动点定理

ASYMPTOTIC PROPERLIES OF POSITIVE SOLUTIONS AND THE EXISTENCE OF POSITIVE SOLUTIONS OF NONLINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
WEI ZHONG-LI,LI FU-YI.ASYMPTOTIC PROPERLIES OF POSITIVE SOLUTIONS AND THE EXISTENCE OF POSITIVE SOLUTIONS OF NONLINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Journal of Systems Science and Mathematical Sciences,1996,16(1):064-072.
Authors:WEI ZHONG-LI  LI FU-YI
Institution:Deparment of Mathematics, Shandong University, Jinan 250100, China
Abstract:In this paper, by the use of the order methods in nonlinear analysis and the thed point theorems of increasing operators,the asymptotic properties of positive solutions of n-th order nonlinear neutral functional differential equations are classified in detail, some sufficient conditions, necessary and sufficient conditions and several examples of the existence of positive solutions of n-th order nonlinear neutral functional differential equations are given.The results obtained include the main results in 4] and 5],and the method of proof is different from those in 4] and 5].
Keywords:Neutral equations  positive solutions  asymptotic properties  existence  cone  fixed point theorems
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