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复高阶微分方程的解
  • ISSN号：0583-1431
  • 期刊名称：《数学学报》
  • 时间：0
  • 分类：O174.52[理学—数学;理学—基础数学]
  • 作者机构：河北经贸大学数学与统计学学院,石家庄050061
  • 相关基金：国家自然科学基金资助项目（11171013,11461054）;河北省自然科学基金（A2015207007）
作者： 王玥
关键词： 值分布理论, 最大模原理, 代数体解, 超越亚纯解, 微分方程, value distribution, maximum modulus principle, algebroid solutions, transcendental meromorphic solutions, differential equations
中文摘要：

利用亚纯函数的Nevanlinna值分布理论以及最大模原理，讨论了一类复高阶微分方程的代数体解以及一类复高阶微分方程组的超越亚纯解的存在性问题，得到了两个结论．还推广了一些文献的结论，例子表明该文的结论是精确的．

英文摘要：

Using Nevanlinna theory of the value distribution of meromorphic functions, and maximum modulus principle, we investigate the problem of the existence of the algebroid solutions of a class of complex higher-order differential equations and the transcendental meromorphic solutions of a class of system of complex higher-order differential equations and obtain two results. Extensions of some results in references are presented. Examples show that our results are precise.

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期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:9981