| STURM-LIOUVILLE PROBLEMS WITH EIGENDEPENDENT BOUNDARY AND TRANSMISSIONS CONDITIONS |
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| 作者姓名： | Z.Akdogan M.Demirci O. Sh. Mukhtarov |
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| 作者单位： | Department of Mathematics, Faculty of Science-Art, Gaziosmanpasa University, 60100 Tokat, Turkey |
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| 摘 要： | 1IntroductionIt is well-known that the Sturmian Theory is an important aid in solving many problemsin mathematical physics.Therefore this theory is one of the most actual and extensivelydeveloped field in spectral analysis of boundary-value problems of St…
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| 关 键 词： | Sturm-Liouville问题 传输条件 边值问题 渐进线 |
| 收稿时间： | 2003-09-29 |
STURM-LIOUVILLE PROBLEMS WITH EIGENDEPENDENT BOUNDARY AND TRANSMISSIONS CONDITIONS |
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| Z.Akdogan M.Demirci O. Sh. Mukhtarov.STURM-LIOUVILLE PROBLEMS WITH EIGENDEPENDENT BOUNDARY AND TRANSMISSIONS CONDITIONS[J].Acta Mathematica Scientia,2005,25(4):731-740. |
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| Authors: | Z Akdoan M Demirci OSh Mukhtarov |
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| Institution: | Z. Akdo(g)an,M. Demirci,O.Sh. Mukhtarov |
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| Abstract: | The purpose of this paper is to extend some fundamental spectral properties of regular Sturm-Liouville problems to special kind discontinuous boundary value problem,which consist of a Sturm-Liouville equation with piecewise continuous potential together with eigenvalue parameter on the boundary and transmission conditions. The authors suggest their own approach for finding asymptotic approximations formulas for eigenvalues and eigenfunctions of such discontinuous problems. |
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| Keywords: | Sturm-Liouville problems transmission conditions asymptotic of eigenvalues and eigenfunctions discontinuous boundary-value problems |
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