孔荫莹,孙道椿.二阶复微分方程的亚纯元素解及代数元素解[J].数学年刊A辑,2011,32(4):489~496 |
二阶复微分方程的亚纯元素解及代数元素解 |
Meromorphic Solutions and Algebraic Solutions of Some Second-order Complex Differential Equations |
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DOI: |
中文关键词: 复微分方程 亚纯元素解 代数元素解 |
英文关键词:Complex differential equation Meromorphic solution Algebraic solution |
基金项目:国家自然科学基金(No10871076); 广东省高校优秀青年创新人才培养计划项目(NoLYM08060); 广州市科技和信息化局应用基础研究计划(No2010Y1-C641)资助的项目 |
Author Name | Affiliation | E-mail | KONG Yinying | School of Mathematics and Computational Science,Guangdong University of Business Studies,Guangzhou 510320,China,LMAM,Universite de BretagneSud,BP573,56017 Vannes,France,Universite Europeene de Bretagne. | kongcoco@hotmail.com | SUN Daochun | School of Mathematics Science, South China Normal University, Guangzhou 510631, China. | sundch@scnu.edu.cn |
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中文摘要: |
研究了一类二阶亚纯系数复微分方程的亚纯元素解及代数元素解的存在性问题, 得到了几个有关解的存在性定理. |
英文摘要: |
The main purpose of this paper is to study the existence of meromorphic solutions and algebraic solutions for some second-order complex differential equations with meromorphic coefficients.Several existence theorems are obtained. |
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