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OALib Journal期刊
ISSN: 2333-9721
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ASYMPTOTIC PROPERLIES OF POSITIVE SOLUTIONS AND THE EXISTENCE OF POSITIVE SOLUTIONS OF NONLINEAR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
高阶非线性中立型方程正解的渐近性及存在性

Keywords: Neutral equations,positive solutions,asymptotic properties,existence,cone,fixed point theorems
中立型方程,正解,渐近性,存在性,锥,不动点定理

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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].

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