Inverse Spectral Problems for Sturm-Liouville Operators with Transmission Eonditions
Abstract: This paper deals with the boundary value problem involving the differential equation -y''+q(x)y=lambda y subject to the standard boundary conditions along with the following discontinuity conditions at a point y(a+...
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| Format: | Article |
| Language: | fas |
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Kharazmi University
2020-08-01
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| Series: | پژوهشهای ریاضی |
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| Online Access: | http://mmr.khu.ac.ir/article-1-2701-en.html |
| _version_ | 1797871665296703488 |
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| author | Mohammad Shahriari |
| author_facet | Mohammad Shahriari |
| author_sort | Mohammad Shahriari |
| collection | DOAJ |
| description | Abstract: This paper deals with the boundary value problem involving the differential equation
-y''+q(x)y=lambda y
subject to the standard boundary conditions along with the following discontinuity conditions at a point
y(a+0)=a1y(a-0), y'(a+0)=a2y'(a-0)+a3y(a-0).
We develop the Hochestadt-Lieberman’s result for Sturm-Liouville problem when there is a discontinuous condition on the closed interval. We show that the potential function and some coefficients of boundary conditions can be uniquely determined by the value of the potential on some interval and parts of two set of eigenvalues../files/site1/files/62/8Abstract(1).pdf |
| first_indexed | 2024-04-10T00:47:27Z |
| format | Article |
| id | doaj.art-9d4ea189dd16428d9308a5f769ae42c3 |
| institution | Directory Open Access Journal |
| issn | 2588-2546 2588-2554 |
| language | fas |
| last_indexed | 2024-04-10T00:47:27Z |
| publishDate | 2020-08-01 |
| publisher | Kharazmi University |
| record_format | Article |
| series | پژوهشهای ریاضی |
| spelling | doaj.art-9d4ea189dd16428d9308a5f769ae42c32023-03-13T19:21:58ZfasKharazmi Universityپژوهشهای ریاضی2588-25462588-25542020-08-0162225234Inverse Spectral Problems for Sturm-Liouville Operators with Transmission EonditionsMohammad Shahriari0 Abstract: This paper deals with the boundary value problem involving the differential equation -y''+q(x)y=lambda y subject to the standard boundary conditions along with the following discontinuity conditions at a point y(a+0)=a1y(a-0), y'(a+0)=a2y'(a-0)+a3y(a-0). We develop the Hochestadt-Lieberman’s result for Sturm-Liouville problem when there is a discontinuous condition on the closed interval. We show that the potential function and some coefficients of boundary conditions can be uniquely determined by the value of the potential on some interval and parts of two set of eigenvalues../files/site1/files/62/8Abstract(1).pdfhttp://mmr.khu.ac.ir/article-1-2701-en.htmlinverse sturm-liouville problemdiscontinuous conditionentire function |
| spellingShingle | Mohammad Shahriari Inverse Spectral Problems for Sturm-Liouville Operators with Transmission Eonditions پژوهشهای ریاضی inverse sturm-liouville problem discontinuous condition entire function |
| title | Inverse Spectral Problems for Sturm-Liouville Operators with Transmission Eonditions |
| title_full | Inverse Spectral Problems for Sturm-Liouville Operators with Transmission Eonditions |
| title_fullStr | Inverse Spectral Problems for Sturm-Liouville Operators with Transmission Eonditions |
| title_full_unstemmed | Inverse Spectral Problems for Sturm-Liouville Operators with Transmission Eonditions |
| title_short | Inverse Spectral Problems for Sturm-Liouville Operators with Transmission Eonditions |
| title_sort | inverse spectral problems for sturm liouville operators with transmission eonditions |
| topic | inverse sturm-liouville problem discontinuous condition entire function |
| url | http://mmr.khu.ac.ir/article-1-2701-en.html |
| work_keys_str_mv | AT mohammadshahriari inversespectralproblemsforsturmliouvilleoperatorswithtransmissioneonditions |