On monotone solutions and a self-adjoint spectral problem for a functional-differential equation of even order
For a self-adjoint boundary value problem for a functional-differential equation of even order, the basis property of the system of eigenfunctions and the equivalence of such statements as the positivity of the corresponding quadratic functional, the Jacobi condition and the positivity of the Green...
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| Format: | Article |
| Language: | English |
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University of Szeged
2019-08-01
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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=7531 |
| _version_ | 1797830488049582080 |
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| author | Manuel Alves Sergey Labovskiy |
| author_facet | Manuel Alves Sergey Labovskiy |
| author_sort | Manuel Alves |
| collection | DOAJ |
| description | For a self-adjoint boundary value problem for a functional-differential equation of even order, the basis property of the system of eigenfunctions and the equivalence of such statements as the positivity of the corresponding quadratic functional, the Jacobi condition and the positivity of the Green function are established. |
| first_indexed | 2024-04-09T13:36:54Z |
| format | Article |
| id | doaj.art-134b30be3d2d4aa3b84d2566ffc267fa |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:36:54Z |
| publishDate | 2019-08-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-134b30be3d2d4aa3b84d2566ffc267fa2023-05-09T07:53:09ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752019-08-0120195911410.14232/ejqtde.2019.1.597531On monotone solutions and a self-adjoint spectral problem for a functional-differential equation of even orderManuel Alves0Sergey Labovskiy1Universidade Eduardo Mondlane, Maputo, MozambiquePlekhanov Russian University of Economics, Moscow, Russian FederationFor a self-adjoint boundary value problem for a functional-differential equation of even order, the basis property of the system of eigenfunctions and the equivalence of such statements as the positivity of the corresponding quadratic functional, the Jacobi condition and the positivity of the Green function are established.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7531quadratic functionalmonotone solutionsspectrumjacobi condition |
| spellingShingle | Manuel Alves Sergey Labovskiy On monotone solutions and a self-adjoint spectral problem for a functional-differential equation of even order Electronic Journal of Qualitative Theory of Differential Equations quadratic functional monotone solutions spectrum jacobi condition |
| title | On monotone solutions and a self-adjoint spectral problem for a functional-differential equation of even order |
| title_full | On monotone solutions and a self-adjoint spectral problem for a functional-differential equation of even order |
| title_fullStr | On monotone solutions and a self-adjoint spectral problem for a functional-differential equation of even order |
| title_full_unstemmed | On monotone solutions and a self-adjoint spectral problem for a functional-differential equation of even order |
| title_short | On monotone solutions and a self-adjoint spectral problem for a functional-differential equation of even order |
| title_sort | on monotone solutions and a self adjoint spectral problem for a functional differential equation of even order |
| topic | quadratic functional monotone solutions spectrum jacobi condition |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7531 |
| work_keys_str_mv | AT manuelalves onmonotonesolutionsandaselfadjointspectralproblemforafunctionaldifferentialequationofevenorder AT sergeylabovskiy onmonotonesolutionsandaselfadjointspectralproblemforafunctionaldifferentialequationofevenorder |