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一类高阶周期系数线性微分方程解的性质
  • ISSN号：1000-5463
  • 期刊名称：《华南师范大学学报：自然科学版》
  • 时间：0
  • 分类：O174.52[理学—数学;理学—基础数学]
  • 作者机构：[1]华南师范大学数学科学学院,广东广州510631
  • 相关基金：国家自然科学基金项目（10871076）
作者： 陈创鑫[1], 陈宗煊[1]
关键词： 线性微分方程, 周期函数, 线性无关, linear differential equation, periodic function, linearly independent
中文摘要：

研究了一类高阶周期系数线性微分方程解的超级、e-型级和相关性等问题,并得到了e-型级与超级之间的一些关系,以及这2种级与系数的精确关系.

英文摘要：

The problems on the hyper-order,the e-type order,and the dependence of solutions for a class of higher order linear differential equations with periodic coefficients are studied.Furthermore,the followings are obtained：some relations between e-type order and hyper-order,and precise relation between the two kinds of order and coefficients.

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期刊信息
  • 《华南师范大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:广东省教育厅
  • 主办单位:华南师范大学
  • 主编：
  • 地址：广州市天河区石牌华南师范大学内
  • 邮编：510631
  • 邮箱：
  • 电话：020-85211440
  • 国际标准刊号：ISSN：1000-5463
  • 国内统一刊号：ISSN：44-1138/N
  • 邮发代号:
  • 获奖情况:
  • 全国高校优秀自然科学学报,广东省优秀科技期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国剑桥科学文摘,中国中国科技核心期刊,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）
  • 被引量:6170