| 一阶时滞微分不等式正解的最大存在区间及应用 |
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| 引用本文： | 唐先华,庾建设. 一阶时滞微分不等式正解的最大存在区间及应用[J]. 数学的实践与认识, 2000, 30(4) |
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| 作者姓名： | 唐先华 庾建设 |
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| 作者单位： | 1. 中南工业大学数软系,长沙,410083
2. 湖南大学应用数学系,长沙,410082 |
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| 摘 要： | 研究了一阶时滞微分不等式 x′( t) +q( t) x( t-δ)≤ 0正解的最大存在区间 ,并应用于几类时滞微分方程解的零点距估计 ,获得了一系列新的更好的结果 .
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| 关 键 词： | 中立型 时滞 零点距 估计 |
The Maximum Existence Interval of Positive Solutions of First Order Delay Differential Inequalities with Applications |
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| TANG Xian-hua,YU jian-she. The Maximum Existence Interval of Positive Solutions of First Order Delay Differential Inequalities with Applications[J]. Mathematics in Practice and Theory, 2000, 30(4) |
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| Authors: | TANG Xian-hua YU jian-she |
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| Abstract: | The maximum existence interval of positive solutions of first order delay differential inequality x′(t)+q(t)x(t-δ)≤0 is investigated. As applications, we establish some better estimates for the distance between adjacent zeroes of the solutions of several kind delay differential equations. |
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| Keywords: | neutral delay distance between adjacent zeroes estimation |
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