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高阶非齐次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：O175.29[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： 张菡之[1], 陈宗煊[1]
关键词： 微分方程, 整函数, 超级, 零点收敛指数, differential equation, entire function, hyper - order, the exponent of the zero - sequence
中文摘要：

研究了非齐次线性微分方程f^（k）＋Ak-1f^（k-1）＋…＋Adf^（d）＋…＋0f=F的解的增长性及零点，其中Aj（j=0，1，…，k-1）为有限级整函数，F为无穷级整函数．如果Ad（0≤d≤k-1）满足某些特殊条件，得到了上述非齐次线性微分方程解的性质。

英文摘要：

The growth of solutions for the equation f^（k）＋Ak-1f^（k-l）＋…＋Adf^（d）＋…＋A0f= F is investigated, where Aj（ 1,2 ,…,k - 1 ） are entire functions with finite order, F is an entire function with infinite order. If the co- efficients Ad （0≤d≤k-1） satisfy certain conditions, the properties of solutions for this equation are obtained.

同期刊论文项目
复域差分, 差分方程与微分方程的解析性质
期刊论文 62
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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:
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  • 被引量:6170