| 一类具复杂偏差变元的非自治泛函微分方程 |
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| 引用本文： | 贾梅,刘锡平,张卫国.一类具复杂偏差变元的非自治泛函微分方程[J].上海理工大学学报,2001,23(4):289-294. |
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| 作者姓名： | 贾梅 刘锡平 张卫国 |
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| 作者单位： | 上海理工大学,基础教学部,上海,200093 |
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| 基金项目： | 国家自然科学基金资助课题(19871005)，上海市教育发展基金资助项目 |
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| 摘 要： | 研究了一类偏差变元依赖状态自身的非自治泛函微分方程x'(t) = (x2(t) - t2) f (nx(t)) (这里),(0RRCf,单调递增, zf (z) > 0, (z≠0))过点(x , h) (其中h < 0 )的解的性态、解的存在性及延拓问题,得到了方程存在过点(x , h) (h < 0)的解的结论.
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| 关 键 词： | 复杂偏差变元 非自治泛函微分方程 不动点定理 存在性 延拓 解 |
| 文章编号： | 1007-6735(2001)04-0289-06 |
| 修稿时间： | 2001年3月1日 |
A type of nonautonomous differential-iterative equations with complex deviation argument |
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| JIA Mei,LIU Xi-ping,ZHANG Wei-guo.A type of nonautonomous differential-iterative equations with complex deviation argument[J].Journal of University of Shanghai For Science and Technology,2001,23(4):289-294. |
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| Authors: | JIA Mei LIU Xi-ping ZHANG Wei-guo |
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| Abstract: | A type of nonautonomous differential-iterative equations with complex deviationargument as follows is considered: x'(t) = (x2(t) - t2)))((txfn where f C(R, R), f is increasingand zf (z) > 0 if z 0, when the equation satisfies initial condition x(x ) =h (h < 0). The behavior,existence and continuation of its solutions are studied. It is concluded that there exist solutions of the equation across any (x , h ) (h < 0). |
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| Keywords: | complex deviation argument nonautonomous differential-iterative equations fixed point theorem existence continuation |
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