| 一类两个边界带谱参数的正则Sturm-Liouville算子的基本解的渐近分析 |
| |
| 引用本文： | 罗佩芳,黄赞,沈京虎. 一类两个边界带谱参数的正则Sturm-Liouville算子的基本解的渐近分析[J]. 延边大学学报(自然科学版), 2011, 0(3): 194-200 |
| |
| 作者姓名： | 罗佩芳 黄赞 沈京虎 |
| |
| 作者单位： | [1]广东培正学院计算机科学与工程系,广东广州510830 [2]华南理工大学机械与汽车工程学院,广东广州510640 [3]延边大学理学院数学系,吉林延吉133002 |
| |
| 基金项目： | 广东省自然科学基金资助项目（5012285）; 广东培正学院青年项目（11pzxmyb039） |
| |
| 摘 要： | 研究了一类具有转换条件且两个边界条件中带谱参数的正则Sturm-Liouville问题.应用常数变易法导出Sturm-Liouville初值问题的一对线性无关的基本解的表达式,然后将该问题的基本解的渐近分析,转化为考虑定义在适当的Hilbert空间H中的一个线性自伴算子A的基本解的渐近分析,并推导出该正则的Sturm-Liouville算子A的基本解的渐近式和整函数的渐近式.
|
| 关 键 词： | 谱参数 转换条件 正则 基本解 渐近式 |
Asymptotic Analysis of a Class of Regular Sturm-Liouville Operators with Spectral-parameters in Two Boundary Conditions |
| |
| LUO Pei-fang,HUANG Zan,SHEN Jing-hu. Asymptotic Analysis of a Class of Regular Sturm-Liouville Operators with Spectral-parameters in Two Boundary Conditions[J]. Journal of Yanbian University (Natural Science), 2011, 0(3): 194-200 |
| |
| Authors: | LUO Pei-fang HUANG Zan SHEN Jing-hu |
| |
| Affiliation: | 1.Department of Computer Science and Engineering,Guangdong Peizheng College,Guangzhou 510830,China;2.School of Mechanical ＆ Automotive Engineering,South China University of Technology,Guangzhou 510640,China;3.Department of Mathematics,College of Science,Yanbian University,Yanji 133002,China) |
| |
| Abstract: | To investigate a class of regular Sturm-Liouville problems with transmission conditions and spectral-parameter in two boundary conditions,we applied the constants method to derive the expressions of a pair of linear independent fundamental solutions of Sturm-Liouville initial-value problems.Then a self-adjoint linear operator A ws defined in a suitable Hilbert space H such that the analysis of such problem were transformed into those of operator A.The asymptotic formulas of fundamental solutions of the regular Sturm-Liouville operator and integral function were also given. |
| |
| Keywords: | spectral-parameter transmission conditions regular fundamental solution asymptotic formulae |
| 本文献已被 维普 等数据库收录！ |
