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k解析函数的一般复合边值问题
  • ISSN号：1673-5196
  • 期刊名称：《兰州理工大学学报》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]北京师范大学数学科学学院,北京100875, [2]赤峰学院数学与统计学院,内蒙古赤峰024000, [3]大连理工大学数学科学学院,辽宁大连116024
  • 相关基金：国家自然科学基金（11071020）; 高校博士点基金（20100003110004）; 内蒙古自然科学基金（2010MS0117）; 内蒙古高等学校科研基金（NJzc08160）
作者： 汤获[1,2], 杨静宇[2,3], 邓冠铁[1]
关键词： k解析函数, 开口弧段, RIEMANN边值问题, HILBERT边值问题, 复合边值问题, k-analytic functions, open arc-segment, Riemann boundary value problem, Hilbert boundary value problem, compound boundary value problem
中文摘要：

研究开口弧段Γ上k解析函数的Riemann边值问题与封闭的Liapunov曲线L上k解析函数的Hilbert边值问题复合而成的一般复合边值问题,利用消去法将问题转化为Hilbert边值问题加以求解,并给出可解性条件和解的具体表达式.

英文摘要：

The general compound boundary value problem which was compounded by the Riemann bound- ary value problem on an open arc-segment F and Hilbert boundary value problem on closed Liapunov curve L was studied. By using the method of elimination, the compound boundary value problem was trans- formed into the Hilbert boundary value problem and then solved. The conditions of its solvability and concrete expression of its solution were also given out.

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期刊信息
  • 《兰州理工大学学报》
  • 北大核心期刊（2011版）
  • 主管单位:甘肃省教委
  • 主办单位:兰州理工大学
  • 主编：李有堂
  • 地址：甘肃省兰州市兰工坪路287号
  • 邮编：730050
  • 邮箱：journal@lut.cn
  • 电话：0931-2756301
  • 国际标准刊号：ISSN：1673-5196
  • 国内统一刊号：ISSN：62-1081/T
  • 邮发代号:54-72
  • 获奖情况:
  • 甘肃高等校优秀学术期刊,全国优秀高校自然科学学报及教育部优秀科技期刊评...,第二届国家期刊奖百种重点期刊
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  • 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,英国科学文摘数据库,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:6651