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具有周期实系数的2n阶微分算子的谱
  • ISSN号：1000-1638
  • 期刊名称：内蒙古大学学报(自然科学版)
  • 时间：2014.5.15
  • 页码：225-230
  • 分类：O175.3[理学—数学;理学—基础数学]
  • 作者机构：[1]内蒙古工业大学理学院,呼和浩特010051, [2]肇庆学院数学与统计学院,广东肇庆526061
  • 相关基金：国家自然科学基金资助项目（11171295）
  • 相关项目：非自伴微分算子谱理论及其应用
作者： 王文娟|王忠|张鹏军|
关键词： 周期实系数, 微分算子, 自伴算子, 连续谱, periodic real coefficient, differential operator, self adjoint operator, continuous spectrum
中文摘要：

得出了具有周期实系数的2n阶对称微分算子是本质自伴算子，它的谱为纯连续谱且由一些闭区间构成．

英文摘要：

Symmetric differantial operators of 2n-th order with periodic real coefficients were studied,it is obtained that the differential operators are essential self-adjoint operators, the self-ad joint differential operators only have a continuous spectrum, and their spectrum consist of some closed intervals in the real axis.

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非自伴微分算子谱理论及其应用
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期刊信息
  • 《内蒙古大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:内蒙古自治区教育厅
  • 主办单位:内蒙古大学
  • 主编：李光鹏
  • 地址：呼和浩特市赛罕区大学西路235号
  • 邮编：010021
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：1000-1638
  • 国内统一刊号：ISSN：15-1052/N
  • 邮发代号:16-67
  • 获奖情况:
  • 综合性科技类核心期刊
  • 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,英国动物学记录,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:6683