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一类高阶正则左定问题的谱
引用本文:翁腾飞. 一类高阶正则左定问题的谱[J]. 肇庆学院学报, 2008, 29(2): 13-16
作者姓名:翁腾飞
作者单位:内蒙古工业大学,理学院,内蒙古,呼和浩特,010062;肇庆学院,计算机科学与软件学院,广东,肇庆,526061
基金项目:广东省自然科学基金 , 内蒙古自然科学基金
摘    要:通过分析左定与右定问题的关系,应用谱曲线和高阶右定问题的谱,研究了一类高阶左定问题谱的特性及谱对给定参数的可微性.

关 键 词:左定  自伴算子  特征值  
文章编号:1009-8445(2008)02-0013-04
修稿时间:2007-07-06

Spectrum of a Class High-order Regular Left-definite Problems
WENG Tengfei. Spectrum of a Class High-order Regular Left-definite Problems[J]. Journal of Zhaoqing University (Bimonthly), 2008, 29(2): 13-16
Authors:WENG Tengfei
Affiliation:WENG Tengfei (1.College of Science, Inner Mongolia University of Technology, Inner Mongolia Hohhot 010062, China; 2.Faculty of Computer Science and Software, Zhaoqing University , Guangdong Zhaoqing 526061, China)
Abstract:The spectrum of a chss of high-order left-definite problems is studied by the relationship between the left-definite and the right-definite problems. The speciality of spectrum of the leftdefinite problems is established based on the right-definite problems and spectral curve. The differentiable dependence of the eigenvalues with respect to a given parameter is studied.
Keywords:left-definite  self-adjoint operator  eigenvalues  spectrum
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