Singular Nonlinear Eigenvalue Problem for One Class of Second-Order Differential Equations
The eigenvalue problem for a singular nonlinear differential equation of the second order is considered on a semiaxis. For this problem, we establish sufficient conditions for the existence of a solution with given number of zeros monotonically decreasing to zero at infinity.
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| Date: | 2003 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4012 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510141572448256 |
|---|---|
| author | Pozur, S. V. Позур, С. В. |
| author_facet | Pozur, S. V. Позур, С. В. |
| author_sort | Pozur, S. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:09Z |
| description | The eigenvalue problem for a singular nonlinear differential equation of the second order is considered on a semiaxis. For this problem, we establish sufficient conditions for the existence of a solution with given number of zeros monotonically decreasing to zero at infinity. |
| first_indexed | 2026-03-24T02:52:17Z |
| format | Article |
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| id | umjimathkievua-article-4012 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:52:17Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/ca/e75278bd3f59602110c352cd313eb7ca.pdf |
| spelling | umjimathkievua-article-40122020-03-18T20:18:09Z Singular Nonlinear Eigenvalue Problem for One Class of Second-Order Differential Equations Сингулярна нелінійна задача па власні значення для одного класу диференціальних рівнянь другого порядку Pozur, S. V. Позур, С. В. The eigenvalue problem for a singular nonlinear differential equation of the second order is considered on a semiaxis. For this problem, we establish sufficient conditions for the existence of a solution with given number of zeros monotonically decreasing to zero at infinity. Для задачі на власні значення для сингулярного нелінійного диференціального рівнягаія другого порядку, яка розглядається на півосі, встановлено достатні умови існування розв'язку з заданою кількістю нулів, що монотонно спадає до нуля на нескінченності. Institute of Mathematics, NAS of Ukraine 2003-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4012 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 10 (2003); 1431-1438 Український математичний журнал; Том 55 № 10 (2003); 1431-1438 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4012/4736 https://umj.imath.kiev.ua/index.php/umj/article/view/4012/4737 Copyright (c) 2003 Pozur S. V. |
| spellingShingle | Pozur, S. V. Позур, С. В. Singular Nonlinear Eigenvalue Problem for One Class of Second-Order Differential Equations |
| title | Singular Nonlinear Eigenvalue Problem for One Class of Second-Order Differential Equations |
| title_alt | Сингулярна нелінійна задача па власні значення для одного класу диференціальних рівнянь другого порядку |
| title_full | Singular Nonlinear Eigenvalue Problem for One Class of Second-Order Differential Equations |
| title_fullStr | Singular Nonlinear Eigenvalue Problem for One Class of Second-Order Differential Equations |
| title_full_unstemmed | Singular Nonlinear Eigenvalue Problem for One Class of Second-Order Differential Equations |
| title_short | Singular Nonlinear Eigenvalue Problem for One Class of Second-Order Differential Equations |
| title_sort | singular nonlinear eigenvalue problem for one class of second-order differential equations |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4012 |
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