| 一类二阶迭代泛函微分方程的解析解的存在性 |
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| 引用本文： | 朱先军.一类二阶迭代泛函微分方程的解析解的存在性[J].济宁师范专科学校学报,2010,31(3):5-8,14. |
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| 作者姓名： | 朱先军 |
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| 作者单位： | 济宁学院数学系,山东,曲阜,273155 |
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| 基金项目： | 山东省高等学校优秀青年教师国内访问学者项目 |
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| 摘 要： | 在复域C内研究一类含有未知函数迭代的二阶微分方程λ2x″（z）＋λ1x′（z）＋λ0x（z）=f（z）xm（z）＋g（z）的解析解的存在性.讨论了双曲型情形0〈｜α｜〈1和共振的情形,还在Brjuno条件下讨论了在共振点附近的情形.
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| 关 键 词： | 迭代泛函微分方程 解析解 共振 |
The Existence of Analytic Solutions of a Second-order Iterative Functional Differential Equation |
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| ZHU Xianjun.The Existence of Analytic Solutions of a Second-order Iterative Functional Differential Equation[J].Journal of Jining Teachers College,2010,31(3):5-8,14. |
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| Authors: | ZHU Xianjun |
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| Institution: | ZHU Xianjun (Department of Mathematics,Jining University,Qufu 273155,China) |
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| Abstract: | In this paper,the second-order differential equation involving iterates of the unknown function λ2x″（z）＋λ1x′（z）＋λ0x（z）=f（z）xm（z）＋g（z）is investigated in the complex field C for the existence of analytic solutions.We discuss not only those α given in Schrder transformation in the hyperbolic case 0｜α｜1 and resonance,but also those α near resonance under Brjuno Condition. |
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| Keywords: | iteration functional differential equation analytic solution resonance |
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