| 带分布时滞中立型微分方程正解的存在性 |
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| 引用本文： | 张瑞霞,刘婕. 带分布时滞中立型微分方程正解的存在性[J]. 数学的实践与认识, 2008, 38(13) |
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| 作者姓名： | 张瑞霞 刘婕 |
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| 作者单位： | 中北大学理学院,数学系,山西,太原,030051 |
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| 摘 要： | 主要运用Banach压缩映像原理,研究了分布时滞中立型微分方程ddty(t)+∫abP(t,θ)y(t-θ)dθ+∫cdQ(t,θ)y(t-θ)dθ=0正解的存在性问题,获得了正解存在的充分条件,推广了相关文献的结果.
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| 关 键 词： | 分布时滞 中立型微分方程 正解 |
Existence of Positive Solution of Neutral Differential Equation with Distributed Delay |
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| ZHANG Rui-xia,LIU Jie. Existence of Positive Solution of Neutral Differential Equation with Distributed Delay[J]. Mathematics in Practice and Theory, 2008, 38(13) |
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| Authors: | ZHANG Rui-xia LIU Jie |
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| Abstract: | We utilized Banach contraction principle to consider the existence of positive solutions for differential equation with distributed delay as followddty(t)+∫baP(t,θ)y(t-θ)dθ]+∫dcQ(t,θ)y(t-θ)dθ=0and we obtained sufficient conditions which extended existed solution in relevant reference. |
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| Keywords: | distributed delay neutral differential equation Positive solution |
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