边界条件中带有谱参数且在多个点不连续的Sturm-Liouville算子的特征问题

删除或更新信息，请邮件至freekaoyan#163.com(#换成@)

本站小编 Free考研考试/2021-12-27

边界条件中带有谱参数且在多个点不连续的Sturm-Liouville算子的特征问题王忠, 张鹏军, 曹玉峰肇庆学院数学与统计学院, 肇庆 526061 Eigenvalues of Sturm-Liouville Operators with Eigenparameter-dependent Boundary Conditions and Some Discontinuous Points WANG Zhong, ZHANG Pengjun, CAO YufengSchool of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526061, China

摘要
图/表
参考文献(0)
相关文章(14)
点击分布统计
下载分布统计
-->

全文: PDF(327 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要本文研究了边界条件中带有谱参数且在多个不连续点处具有转移耦合边条件的Sturm-Liouville特征问题，得到了该问题的特征值分布和特征值的渐近式.

服务

加入引用管理器

E-mail Alert

RSS

收稿日期: 2011-01-09

PACS:

O175.3

基金资助:国家自然科学基金（11171295）资助项目.

引用本文:

王忠, 张鹏军, 曹玉峰. 边界条件中带有谱参数且在多个点不连续的Sturm-Liouville算子的特征问题[J]. 应用数学学报, 2016, 39(4): 505-522. WANG Zhong, ZHANG Pengjun, CAO Yufeng. Eigenvalues of Sturm-Liouville Operators with Eigenparameter-dependent Boundary Conditions and Some Discontinuous Points. Acta Mathematicae Applicatae Sinica, 2016, 39(4): 505-522.

链接本文:

http://123.57.41.99/jweb_yysxxb/CN/或 http://123.57.41.99/jweb_yysxxb/CN/Y2016/V39/I4/505

[1]	Akdogan Z, Demirci M, Mukhtarov O SH. Green function of discontinuous boundary-value problem with transmission conditions. Math. Met. Appl. Sci., 2007, 30: 1719-1738
[2]	Altinisik N, Kadakal M, Mukhtarov O SH. Eigenvalues and eigenfunctions of discontinuous Sturm-Liouville Problem with eigenparameter-dependent boudary condition. Acta Mathethematica Hunger, 2004, 102(1-2): 159-175
[3]	曹玉峰, 王忠. 边界条件中带有谱参数且具有k点不连续的Sturm-Liouville问题. 内蒙古大学学报 (自然科学版), 2010, 42(6): 610-617 (Cao Yufeng, Wang Zhong. Discontinuous at k points of sturm-Liouville problems with eigenparameter-dependent boundary conditions. J. Inner Mongolia University, 2010, 42(6): 610-617)
[4]	Fution C T. Two-point boundary value problems with eigenvalues paramter contained in the boundary conditions. Proc. Roy. Soc. Edin., 1977, 77A: 293-308
[5]	Kadakal M, Mukhtarov O SH. Sturm-Liouville Problem with discontinuties at two points. Computers and Mathematica with Applications, 2007, 54: 1367-1479
[6]	Mukhtarov O SH, Kadakal M. some sepctral properties of one Sturm-liouville type problem with discontinuous weight. Siberian Math. J., 2005, 46(4): 367-380
[7]	Mukhtarov O SH, Tunc E. Eigenvalue problems for Sturm-liouville equations with transmission conditions. Israel J. Math., 2004, 144: 367-380
[8]	Mukhtarov O SH, Yakubov S. Problems for Ordinary differential equations with transmission conditions. Applicable Anal., 2002, 81: 1033-1064
[9]	Naimark M A. Linear differential operators. New Yoke: Ungar, 1967
[10]	Sun J, Wang A, Zettle A. Two-interval Sturm-liouville operators in direct Sum spaces with inner product multiplies. Results in Math., 2007, 50: 155-168
[11]	Tunc E., Muhtarov O. SH. Fundamental solutions and eigenvalues of one boundary-value problem with transmission condition. Appl. Math. Comput., 2004, 157: 347-355
[12]	Wang Z, Wu H. Sturm-Liouville Problems with Limit-Circle end points. I. Structures on spaces of problems and their applications. Pacific Journal of Applied Mathematics, 2008, 1(4): 79-104
[13]	Yakubov S, Yakubov Y. Abel basis of root functions of regular boundary value problems. Math. Nachr., 1999, 197: 157-187
[14]	Yakubov S, Yakubov Y. Differential-Operator Equations. Ordinary and Parial Differential Equations, Chapman and Hall (Boca Raton, 2000)

[1]	孔欢欢, 王桂霞, 晴晴. 带有有限个转移条件的高阶微分算子特征函数系的完备性[J]. 应用数学学报, 2016, 39(1): 71-83.
[2]	王文娟, 王忠. 具有周期复系数的2n阶微分算子的谱[J]. 应用数学学报, 2015, 38(4): 699-707.
[3]	葛素琴, 王万义. 一类具有内部奇异点的微分算式乘积的自伴域[J]. 应用数学学报, 2015, 38(2): 244-253.
[4]	傅守忠, 王忠. Sturm-Liouville问题的m-函数与谱[J]. 应用数学学报, 2015, 38(2): 350-355.
[5]	邢利刚, 阿拉坦仓. 一类无穷维Hamilton算子谱的刻画[J]. 应用数学学报(英文版), 2014, 37(4): 577-585.
[6]	青梅, 吉日嘎, 金冉, 阿拉坦仓. 一类无穷维Hamilton算子的谱估计[J]. 应用数学学报(英文版), 2013, 36(4): 640-645.
[7]	高鹏飞, 姚斯琴, 孙炯. 边界条件中带有谱参数的不连续Sturm-Liouville算子[J]. 应用数学学报(英文版), 2012, (1): 156-167.
[8]	吴德玉, 阿拉坦仓. 无穷维Hamilton算子的辛自伴性[J]. 应用数学学报(英文版), 2011, 34(5): 918-923.
[9]	高云兰, 彭涛, 孙炯. 正则四阶微分算子的左定边界条件[J]. 应用数学学报(英文版), 2010, 33(5): 867-877.
[10]	艾树利. 关于缺失有限个特征值的逆Sturm-Liouville问题[J]. 应用数学学报(英文版), 2010, 33(5): 920-929.
[11]	王爱平, 孙炯, 高鹏飞. 具有正则型点的奇异微分算子的自共轭扩张[J]. 应用数学学报(英文版), 2010, 33(4): 632-639.
[12]	王桂霞, 孙炯. 带转移条件的Strum-Liouville问题特征函数的振动性[J]. 应用数学学报(英文版), 2010, 33(3): 395-411.
[13]	高云兰, 彭涛, 孙炯. 正则四阶微分算子的左定边界条件[J]. 应用数学学报(英文版), 2010, 33(1): 867-877.
[14]	艾树利. 关于缺失有限个特征值的逆Sturm-Liouville问题[J]. 应用数学学报(英文版), 2010, 33(1): 920-929.

PDF全文下载地址:

http://123.57.41.99/jweb_yysxxb/CN/article/downloadArticleFile.do?attachType=PDF&id=14170