Double Discontinuous Inverse Problems for Sturm-Liouville Operator with Parameter-Dependent Conditions
The purpose of this paper is to solve the inverse spectral problems for Sturm-Liouville operator with boundary conditions depending on spectral parameter and double discontinuities inside the interval. It is proven that the coefficients of the problem can be uniquely determined by either Weyl functi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/794262 |
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| _version_ | 1849686589768204288 |
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| author | A. S. Ozkan B. Keskin Y. Cakmak |
| author_facet | A. S. Ozkan B. Keskin Y. Cakmak |
| author_sort | A. S. Ozkan |
| collection | DOAJ |
| description | The purpose of this paper is to solve the inverse spectral problems for Sturm-Liouville operator with boundary conditions depending on spectral parameter and double discontinuities inside the interval. It is proven that the coefficients of the problem can be uniquely determined by either Weyl function or given two different spectral sequences. |
| format | Article |
| id | doaj-art-bfccdb2cc8484280aa9e0fc97dce0c8d |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bfccdb2cc8484280aa9e0fc97dce0c8d2025-08-20T03:22:39ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/794262794262Double Discontinuous Inverse Problems for Sturm-Liouville Operator with Parameter-Dependent ConditionsA. S. Ozkan0B. Keskin1Y. Cakmak2Department of Mathematics, Faculty of Arts & Science, Cumhuriyet University, 58140 Sivas, TurkeyDepartment of Mathematics, Faculty of Arts & Science, Cumhuriyet University, 58140 Sivas, TurkeyDepartment of Mathematics, Faculty of Arts & Science, Cumhuriyet University, 58140 Sivas, TurkeyThe purpose of this paper is to solve the inverse spectral problems for Sturm-Liouville operator with boundary conditions depending on spectral parameter and double discontinuities inside the interval. It is proven that the coefficients of the problem can be uniquely determined by either Weyl function or given two different spectral sequences.http://dx.doi.org/10.1155/2013/794262 |
| spellingShingle | A. S. Ozkan B. Keskin Y. Cakmak Double Discontinuous Inverse Problems for Sturm-Liouville Operator with Parameter-Dependent Conditions Abstract and Applied Analysis |
| title | Double Discontinuous Inverse Problems for Sturm-Liouville Operator with Parameter-Dependent Conditions |
| title_full | Double Discontinuous Inverse Problems for Sturm-Liouville Operator with Parameter-Dependent Conditions |
| title_fullStr | Double Discontinuous Inverse Problems for Sturm-Liouville Operator with Parameter-Dependent Conditions |
| title_full_unstemmed | Double Discontinuous Inverse Problems for Sturm-Liouville Operator with Parameter-Dependent Conditions |
| title_short | Double Discontinuous Inverse Problems for Sturm-Liouville Operator with Parameter-Dependent Conditions |
| title_sort | double discontinuous inverse problems for sturm liouville operator with parameter dependent conditions |
| url | http://dx.doi.org/10.1155/2013/794262 |
| work_keys_str_mv | AT asozkan doublediscontinuousinverseproblemsforsturmliouvilleoperatorwithparameterdependentconditions AT bkeskin doublediscontinuousinverseproblemsforsturmliouvilleoperatorwithparameterdependentconditions AT ycakmak doublediscontinuousinverseproblemsforsturmliouvilleoperatorwithparameterdependentconditions |