On discreteness of spectrum of a second order differential operator
A new form of a necessary and sufficient conditions for the discreteness of the spectrum of singular operator $-\frac{1}{\rho(x)}(p(x)u')'$, $-\infty\le a\le x\le b\le+\infty$ is obtained. A simpler proof of the necessity is obtained.
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| Format: | Article |
| Language: | English |
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University of Szeged
2020-09-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8436 |
| _version_ | 1797830529166344192 |
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| author | Sergey Labovskiy |
| author_facet | Sergey Labovskiy |
| author_sort | Sergey Labovskiy |
| collection | DOAJ |
| description | A new form of a necessary and sufficient conditions for the discreteness of the spectrum of singular operator $-\frac{1}{\rho(x)}(p(x)u')'$, $-\infty\le a\le x\le b\le+\infty$ is obtained. A simpler proof of the necessity is obtained. |
| first_indexed | 2024-04-09T13:37:34Z |
| format | Article |
| id | doaj.art-a7d774d23c3c41eea774996a2915e9fe |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:37:34Z |
| publishDate | 2020-09-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-a7d774d23c3c41eea774996a2915e9fe2023-05-09T07:53:10ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752020-09-012020521910.14232/ejqtde.2020.1.528436On discreteness of spectrum of a second order differential operatorSergey Labovskiy0Plekhanov Russian University of Economics, Moscow, Russian FederationA new form of a necessary and sufficient conditions for the discreteness of the spectrum of singular operator $-\frac{1}{\rho(x)}(p(x)u')'$, $-\infty\le a\le x\le b\le+\infty$ is obtained. A simpler proof of the necessity is obtained.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8436discreteness of spectrumsecond order differential operator |
| spellingShingle | Sergey Labovskiy On discreteness of spectrum of a second order differential operator Electronic Journal of Qualitative Theory of Differential Equations discreteness of spectrum second order differential operator |
| title | On discreteness of spectrum of a second order differential operator |
| title_full | On discreteness of spectrum of a second order differential operator |
| title_fullStr | On discreteness of spectrum of a second order differential operator |
| title_full_unstemmed | On discreteness of spectrum of a second order differential operator |
| title_short | On discreteness of spectrum of a second order differential operator |
| title_sort | on discreteness of spectrum of a second order differential operator |
| topic | discreteness of spectrum second order differential operator |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=8436 |
| work_keys_str_mv | AT sergeylabovskiy ondiscretenessofspectrumofasecondorderdifferentialoperator |