Spectrums of Solvable Pantograph Differential-Operators for First Order
By using the methods of operator theory, all solvable extensions of minimal operator generated by first order pantograph-type delay differential-operator expression in the Hilbert space of vector-functions on finite interval have been considered. As a result, the exact formula for the spectrums of t...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/837565 |
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| _version_ | 1850167844280467456 |
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| author | Z. I. Ismailov P. Ipek |
| author_facet | Z. I. Ismailov P. Ipek |
| author_sort | Z. I. Ismailov |
| collection | DOAJ |
| description | By using the methods of operator theory, all solvable extensions of minimal operator generated by first order pantograph-type delay differential-operator expression in the Hilbert space of vector-functions on finite interval have been considered. As a result, the exact formula for the spectrums of these extensions is presented. Applications of obtained results to the concrete models are illustrated. |
| format | Article |
| id | doaj-art-dfef4185e77a4f699991c41a8dea29dd |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-dfef4185e77a4f699991c41a8dea29dd2025-08-20T02:21:07ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/837565837565Spectrums of Solvable Pantograph Differential-Operators for First OrderZ. I. Ismailov0P. Ipek1Department of Mathematics, Faculty of Arts and Sciences, Karadeniz Technical University, 61080 Trabzon, TurkeyInstitute of Fundamental Sciences, Karadeniz Technical University, 61080 Trabzon, TurkeyBy using the methods of operator theory, all solvable extensions of minimal operator generated by first order pantograph-type delay differential-operator expression in the Hilbert space of vector-functions on finite interval have been considered. As a result, the exact formula for the spectrums of these extensions is presented. Applications of obtained results to the concrete models are illustrated.http://dx.doi.org/10.1155/2014/837565 |
| spellingShingle | Z. I. Ismailov P. Ipek Spectrums of Solvable Pantograph Differential-Operators for First Order Abstract and Applied Analysis |
| title | Spectrums of Solvable Pantograph Differential-Operators for First Order |
| title_full | Spectrums of Solvable Pantograph Differential-Operators for First Order |
| title_fullStr | Spectrums of Solvable Pantograph Differential-Operators for First Order |
| title_full_unstemmed | Spectrums of Solvable Pantograph Differential-Operators for First Order |
| title_short | Spectrums of Solvable Pantograph Differential-Operators for First Order |
| title_sort | spectrums of solvable pantograph differential operators for first order |
| url | http://dx.doi.org/10.1155/2014/837565 |
| work_keys_str_mv | AT ziismailov spectrumsofsolvablepantographdifferentialoperatorsforfirstorder AT pipek spectrumsofsolvablepantographdifferentialoperatorsforfirstorder |