On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type
The existence and compactness of the resolvent are studied in this paper. One of the main results is the criterion of discreteness of the spectrum of a hyperbolic singular differential operator.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2013-11-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2337 |
| _version_ | 1797830670655946752 |
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| author | Mussakan Muratbekov Madi Muratbekov Akbota Abylayeva |
| author_facet | Mussakan Muratbekov Madi Muratbekov Akbota Abylayeva |
| author_sort | Mussakan Muratbekov |
| collection | DOAJ |
| description | The existence and compactness of the resolvent are studied in this paper. One of the main results is the criterion of discreteness of the spectrum of a hyperbolic singular differential operator. |
| first_indexed | 2024-04-09T13:39:46Z |
| format | Article |
| id | doaj.art-b9114704f28640f0ab820ddd923cafeb |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:46Z |
| publishDate | 2013-11-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-b9114704f28640f0ab820ddd923cafeb2023-05-09T07:53:03ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752013-11-0120136411010.14232/ejqtde.2013.1.642337On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic typeMussakan Muratbekov0Madi Muratbekov1Akbota Abylayeva2Taraz State Pedagogical Institute, Tole bi 62, Taraz, KazakhstanK.Munaitpasov str. 5, Astana, KazakhstanL.N.Gumilyev Eurasian National University, Munaitpasov 5, Astana, KazakhstanThe existence and compactness of the resolvent are studied in this paper. One of the main results is the criterion of discreteness of the spectrum of a hyperbolic singular differential operator.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2337spectrumresolventsingular differential operatorhyperbolic type |
| spellingShingle | Mussakan Muratbekov Madi Muratbekov Akbota Abylayeva On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type Electronic Journal of Qualitative Theory of Differential Equations spectrum resolvent singular differential operator hyperbolic type |
| title | On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type |
| title_full | On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type |
| title_fullStr | On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type |
| title_full_unstemmed | On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type |
| title_short | On existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type |
| title_sort | on existence of the resolvent and discreteness of the spectrum of a class of differential operators of hyperbolic type |
| topic | spectrum resolvent singular differential operator hyperbolic type |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2337 |
| work_keys_str_mv | AT mussakanmuratbekov onexistenceoftheresolventanddiscretenessofthespectrumofaclassofdifferentialoperatorsofhyperbolictype AT madimuratbekov onexistenceoftheresolventanddiscretenessofthespectrumofaclassofdifferentialoperatorsofhyperbolictype AT akbotaabylayeva onexistenceoftheresolventanddiscretenessofthespectrumofaclassofdifferentialoperatorsofhyperbolictype |