THE REPRESENTATION OF THE SOLUTION OF STURM-LIOUVILLE EQUATION WITH DISCONTINUITY CONDITIONS

THE REPRESENTATION OF THE SOLUTION OF STURM-LIOUVILLE EQUATION WITH DISCONTINUITY CONDITIONS

下载PDF

导出

摘要 The aim of this paper is to construct the integral representation of the solution of Sturm-Liouville equation with eigenparameter-dependent discontinuity conditions at an interior point of the finite interval. Moreover, we examine the properties of the kernel function of this integral representation and obtain the partial differential equation provided by this kernel function. The aim of this paper is to construct the integral representation of the solution of Sturm-Liouville equation with eigenparameter-dependent discontinuity conditions at an interior point of the finite interval. Moreover, we examine the properties of the kernel function of this integral representation and obtain the partial differential equation provided by this kernel function.

作者 Ozge AKCAY

机构地区 Department of Mathematics

出处《Acta Mathematica Scientia》 SCIE CSCD 2018年第4期1195-1213,共19页 数学物理学报（B辑英文版）

基金 supported by the Scientific and Technological Research Council of Turkey(TüBìTAK)

关键词 Sturm-Liouville equation discontinuity conditions integral representation Sturm-Liouville equation discontinuity conditions integral representation

分类号 O175.1 [理学—数学] O174.2 [理学—基础数学]

引文网络
相关文献

参考文献3

1M.KADAKAL,O.Sh.MUKHTAROV.Discontinuous Sturm-Liouville Problems Containing Eigenparameter in the Boundary Conditions[J].Acta Mathematica Sinica,English Series,2006,22(5):1519-1528. 被引量：15
2Oktay Sh.MUKHTAROV,Kadriye AYDEMIR.EIGENFUNCTION EXPANSION FOR STURM-LIOUVILLE PROBLEMS WITH TRANSMISSION CONDITIONS AT ONE INTERIOR POINT[J].Acta Mathematica Scientia,2015,35(3):639-649. 被引量：4
3O.Sh.Mukhtarov Department of Mathematics, Science and Arts Faculty, Gaziosmanpasa University, Tokat, TurkeyMustafa Kandemir Department of Mathematics, Faculty of A mas y a Education, Ondokuz Mayis University, Amasya, Turkey.ASYMPTOTIC BEHAVIOUR OF EIGENVALUES FOR THE DISCONTINUOUS BOUNDARY-VALUE PROBLEM WITH FUNCTIONAL-TRANSMISSION CONDITIONS[J].Acta Mathematica Scientia,2002,22(3):335-345. 被引量：11

二级参考文献19

1Z.Akdog■an,M.Demirci,O.Sh.Mukhtarov.STURM-LIOUVILLE PROBLEMS WITH EIGENDEPENDENT BOUNDARY AND TRANSMISSIONS CONDITIONS[J].Acta Mathematica Scientia,2005,25(4):731-740. 被引量：4
2Fulton, C. T.: Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions. Proc. Roy. Soc. Edin., 77(A), 293-308 (1977) 被引量：1
3Birkhoff, G. D.: On the asymptotic character of the solution of the certain linear differential equations containing parameter. Trans. Amer. Soc., 9, 219-231 (1908) 被引量：1
4Hinton, D. B.: An expansion theorem for an eigenvalue problem with eigenvalue parameter in the boundary condition. Quart. J. Math. Oxford., 30, 33-42 (1979) 被引量：1
5Schneider, A.: A note on eigenvalue problems with eigenvalue parameter in the boundary conditions. Math.Z., 136, 163-167 (1974) 被引量：1
6Shkalikov, A. A.: Boundary value problems for ordinary differential equations with a parameter in boundary condition. Trudy Sere. Imeny I. G. Petrowsgo, 9, 190-229 (1983) 被引量：1
7Walter, J.: Regular eigenvalue problems with eigenvalue parameter in the boundary conditions. Math.133, 301-312(1973) 被引量：1
8Yakubov, S.: Completeness of Root Functions of Regular Differential Operators, Longman, Scientific Technical, New York, 1994 被引量：1
9Yakubov, S., Yakubov, Y.: Abel basis of root functions of regular boundary value problems. Math. Nachr.,197, 157-187 (1999) 被引量：1
10Yakubov, S., Yakubov, Y.: Differential-Operator Equations, Ordinary and Partial Differential Equations,Chapman and Hall/CRC, Boca Raton, 568, 2000 被引量：1

共引文献27

1黄赞,罗佩芳.一类两个边界带谱参数的Sturm-Liouville算子Ⅰ[J].广州大学学报（自然科学版）,2009,8(5):6-9. 被引量：7
2Z.Akdog■an,M.Demirci,O.Sh.Mukhtarov.STURM-LIOUVILLE PROBLEMS WITH EIGENDEPENDENT BOUNDARY AND TRANSMISSIONS CONDITIONS[J].Acta Mathematica Scientia,2005,25(4):731-740. 被引量：4
3王桂霞,孙炯.一类带转移条件Sturm-Liouville问题特征值的性质[J].内蒙古师范大学学报（自然科学汉文版）,2008,37(3):291-295. 被引量：7
4王桂霞,孙炯.一类不连续Strum-Liouville问题特征函数的振动性[J].应用数学学报,2008,31(3):500-513. 被引量：5
5黄赞,罗佩芳,沈京虎.一类带谱参数的奇异Sturm-Liouville算子特征的渐近分析Ⅰ[J].延边大学学报（自然科学版）,2009,35(3):198-202. 被引量：5
6王桂霞,孙炯.带转移条件的Sturm-Liouville问题特征函数的振动性(英文)[J].内蒙古师范大学学报（自然科学汉文版）,2010,39(2):109-115. 被引量：2
7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,2010,33(3):395-411. 被引量：3
8刘春玲,王万义.一类具有转移条件的四阶微分算子的自共轭性刻画[J].内蒙古师范大学学报（自然科学汉文版）,2010,39(3):232-237. 被引量：4
9赵迎春,孙炯.带有转移条件和谱参数边界条件的不定Sturm-Liouville算子[J].内蒙古大学学报（自然科学版）,2010,41(5):485-489.
10刘春玲,王万义.一类具有转移条件且边界条件中含有特征参数的四阶微分算子的自共轭性[J].内蒙古大学学报（自然科学版）,2010,41(4):368-372. 被引量：2

1Laurence Brahm Founding Director,Himalayan Consensus Institute.The China Solution for A New Era[J].国际人才交流,2018(3):66-66.
2石茂明.“互联网+”时代的中国苗族呈现——“三苗网”的历史回顾与展望[J].中国山地民族研究集刊,2016(2):3-12. 被引量：1
3熊李艳,何雄,黄晓辉,黄卫春.基于张量分解的鲁棒核低秩表示算法[J].科学技术与工程,2018,18(21):56-62. 被引量：2
4Melakneh Mengistu.Resistance and Representation in Amharic Folk Poetry （1889-1974）[J].Cultural and Religious Studies,2018,6(2):131-148.
5Xinwei FENG,Gaofeng ZONG.Pseudo almost automorphic solution to stochastic differential equation driven by Levy process[J].Frontiers of Mathematics in China,2018,13(4):779-796.
6Jiang Yongyue,Zhao Zhijiang,Li Li.Numerical simulation for GMAW with a new model based on phase field model[J].China Welding,2018,27(1):46-52. 被引量：4
7九月,于雷.于雷,一种跨学科的设计趋势[J].艺术与设计,2018,0(8):74-75.
8《品牌评价基础和原则》国际标准即将发布[J].上海质量,2018,0(7):43-43.
9石先杰,李春丽,魏发远.Unified Approach for Vibration Analyses of Annular Sector and Annular Plates with General Boundary Conditions[J].Journal of Shanghai Jiaotong university(Science),2017,22(4):449-458.
10陆晨刚.电导法测定醋酸电离平衡常数的实验探究[J].化学教学,2018,0(7):79-81. 被引量：6

Acta Mathematica Scientia

2018年第4期

浏览历史

内容加载中请稍等...

THE REPRESENTATION OF THE SOLUTION OF STURM-LIOUVILLE EQUATION WITH DISCONTINUITY CONDITIONS

参考文献3

二级参考文献19

共引文献27

相关作者

相关机构

相关主题

浏览历史