| 二阶非线性时滞微分方程的单调解 |
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| 引用本文： | 尹福其,李永昆.二阶非线性时滞微分方程的单调解[J].云南大学学报(自然科学版),2002,24(3):161-163,166. |
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| 作者姓名： | 尹福其 李永昆 |
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| 作者单位： | 云南大学数学系,云南,昆明,650091 |
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| 基金项目： | NationalNaturalSciencesFoundationofPeople’sRepublicofChina ( 10 0 6 10 0 4)onthegrandandNaturalSciencesFoundationofYunnanProvince |
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| 摘 要： | 运用黎卡提变换研究了一类非线性时滞微分方程,得到了它的单调解存在性的充要条件,并应用这些条件获得了这类方程单调解存在性的几个判据与比较定理.
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| 关 键 词： | 单调解 非线性 时滞微分方程 判据 比较定理 |
Monotone solutions of second-order nonlinear delay differential equations |
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| YIN Fu-qi,LI Yong-kun.Monotone solutions of second-order nonlinear delay differential equations[J].Journal of Yunnan University(Natural Sciences),2002,24(3):161-163,166. |
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| Authors: | YIN Fu-qi LI Yong-kun |
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| Institution: | Department of Mathematics, Yunnan University, Kunming 650091, China |
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| Abstract: | By means of a Riccati-type transformation,a class of nonlinear delay differential equation is investigated and necessary and sufficient conditions are obtained for the existence of monotone solution of a nonlinear delay differential equation.As application,several existence criteria and comparison theorems are derived |
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| Keywords: | monotone solution nonlinear delay differential equation existence criteria comparison theorem |
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