| n阶中立型时滞方程衰减正解的存在性 |
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| 引用本文： | 李万同,叶其孝.n阶中立型时滞方程衰减正解的存在性[J].纯粹数学与应用数学,1995,11(2):53-62. |
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| 作者姓名： | 李万同 叶其孝 |
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| 作者单位： | [1]甘肃张掖师志 [2]北京理工大学 |
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| 摘 要： | 研究了ｎ阶中立型方程（ｘ（ｔ）－ｃｘ（ｔ－τ）＾（ｎ）＋ｐ（ｔ）ｘ（ｇ（ｔ））＝０，ｔ≥ｔ０，ｎ≥１（＊）正解的存在性，在ｐ（ｔ）常号和变号的情况下，给出了（＊）存在衰减正解的充分条件，特别，这偏离 文「２」，「４－６」和「８－１２」的有关结果。
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| 关 键 词： | 时滞方程 正解 存在性 中立型方程 衰减正解 |
ON THE EXISTENCE OF ASYMPTOTICALLY DECAYING POSITIVE SOLUTIONS OF nTH ORDER NEUTRAL DIFFERENTIAL EQUATIONS |
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| Li Wantong.ON THE EXISTENCE OF ASYMPTOTICALLY DECAYING POSITIVE SOLUTIONS OF nTH ORDER NEUTRAL DIFFERENTIAL EQUATIONS[J].Pure and Applied Mathematics,1995,11(2):53-62. |
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| Authors: | Li Wantong |
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| Abstract: | The existence of positive solutions of nib order neutral differential equation is investigated. Some sufficient conditions are given for existence of positive solutions with asymptotic decay of (*) for the case of constant sign and nonconstant sign of coefficients. In particular the result obtained provides an extension of those in 2], 4]-6] and 8-12]. |
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| Keywords: | neutral delay defferential equations existence of positive solutions fixed point theorem |
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