左定Sturm-Liouville问题特征值间不等式

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英文篇名：Inequalities Among Eigenvalues of Left-Definite Sturm-Liouville Problems 作者：朱玉凤 ; 杨树生 ; 张晓军 英文作者：ZHU Yu-feng;YANG Shu-sheng;ZHANG Xiao-jun;School of Science,Inner Mongolia University of Technology;Department of Science,Hetao College; 关键词：左定S-L问题 ; 余切角 ; 特征值不等式 英文关键词：left-definite S-L problems;;cotangent angle;;inequalities among eigenvalues 中文刊名：NMSB 英文刊名：Journal of Inner Mongolia Normal University(Natural Science Edition) 机构：内蒙古工业大学理学院;河套学院理学系; 出版日期：2019-05-15 出版单位：内蒙古师范大学学报(自然科学汉文版) 年：2019 期：v.48;No.197 基金：内蒙古自治区高等学校科学研究项目(NJZY17375) 语种：中文; 页：NMSB201903006 页数：4 CN：03 ISSN：15-1049/N 分类号：31-34

摘要

考虑左定正则自伴Sturm-Liouville (S-L)问题,构造一个关于α的余切角,得到相应的分离边界条件,建立分离边界条件和耦合边界条件下左定S-L问题特征值间不等式.
        To study the left-definite regular self-adjoint Sturm-Liouville(S-L) problems,a cotangent angle of α was constructed and the corresponding separated boundary conditions were obtained.Thus,we established inequalities among eigenvalues of the left-definite S-L problems under separated boundary conditions and the coupled boundary conditions.

引文

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