| 一类二阶非自治迭代微分方程的初值问题 |
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| 引用本文： | 刘锡平,贾梅.一类二阶非自治迭代微分方程的初值问题[J].数学学报,2002,45(4):711-718. |
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| 作者姓名： | 刘锡平 贾梅 |
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| 作者单位： | 上海理工大学基础科学部,上海,200093 |
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| 基金项目： | 国家自然科学基金资助项目（19871005）,上海市高等学校科研发展基金项目（2000H03） |
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| 摘 要： | 本文研究二阶非自治迭代泛函微分方程x＇＇（t）=a（t）x（t）+b（t）x（x（t））的强解的存在性及其性态,给出了过区域{（t,x）|0
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| 关 键 词： | 迭代泛函微分方程 强解 饱和强解 不动点 |
| 文章编号： | 0583-1431(2002)04-0711-08 |
| 修稿时间： | 1999年2月4日 |
Initial Value Problem to the Second Order Non-Autonomous Functional Differential-Iterative Equation |
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| Xi Ping LIU,Mei JIA.Initial Value Problem to the Second Order Non-Autonomous Functional Differential-Iterative Equation[J].Acta Mathematica Sinica,2002,45(4):711-718. |
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| Authors: | Xi Ping LIU Mei JIA |
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| Institution: | Xi Ping LIU Mei JIA(Department of Basic Science, University of Shanghai for Science and Technology,Shanghai 200093, P. R. China)(E-mail: xipingliu@263.net) |
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| Abstract: | The paper studies the behavior and existence of strong solutions to the second order non-autonomous functional differential-iterative equation x"(t)=a(t)x(t)+ b(t)x(x(t)), gives the condition of existence of strong solutions across any point of the region {(t,x)|0 < x ≤ t}, and obtains the conclusion there are maximal strong solutions across any point of the set {(t, x)| 0 < x=t}. |
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| Keywords: | Functional differential-iterative equation Strong solution Maximal strong solution Fixed point |
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