Refinement of Kneser theorem on zeros of solutions of the equation $y" + p(x)y = 0$
We find conditions for a linear homogeneous second order equation to be nonoscfflatory on the half-axis and such that its solutions have infinitely many zeros.
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| Дата: | 1996 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1996
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5314 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511533343178752 |
|---|---|
| author | Slyusarchuk, V. E. Слюсарчук, В. Е. Слюсарчук, В. Е. |
| author_facet | Slyusarchuk, V. E. Слюсарчук, В. Е. Слюсарчук, В. Е. |
| author_sort | Slyusarchuk, V. E. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:30:10Z |
| description | We find conditions for a linear homogeneous second order equation to be nonoscfflatory on the half-axis and such that its solutions have infinitely many zeros.
|
| first_indexed | 2026-03-24T03:14:24Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5314 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:14:24Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7b/3eca3230b717432f3e4fac0ba2bdeb7b.pdf |
| spelling | umjimathkievua-article-53142020-03-18T21:30:10Z Refinement of Kneser theorem on zeros of solutions of the equation $y" + p(x)y = 0$ Усиление теоремы Кнезера о нулях решений уравнения $y" + p(x)y = 0$ Slyusarchuk, V. E. Слюсарчук, В. Е. Слюсарчук, В. Е. We find conditions for a linear homogeneous second order equation to be nonoscfflatory on the half-axis and such that its solutions have infinitely many zeros. Знайдено умови, при виконанні яких лінійне однорідне рівняння другого порядку є неколивним на півосі, а також умови, при яких його розв'язки мають безліч нулів. Institute of Mathematics, NAS of Ukraine 1996-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5314 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 4 (1996); 520-524 Український математичний журнал; Том 48 № 4 (1996); 520-524 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/5314/7320 Copyright (c) 1996 Slyusarchuk V. E. |
| spellingShingle | Slyusarchuk, V. E. Слюсарчук, В. Е. Слюсарчук, В. Е. Refinement of Kneser theorem on zeros of solutions of the equation $y" + p(x)y = 0$ |
| title | Refinement of Kneser theorem on zeros of solutions of the equation $y" + p(x)y = 0$ |
| title_alt | Усиление теоремы Кнезера о нулях решений уравнения $y" + p(x)y = 0$ |
| title_full | Refinement of Kneser theorem on zeros of solutions of the equation $y" + p(x)y = 0$ |
| title_fullStr | Refinement of Kneser theorem on zeros of solutions of the equation $y" + p(x)y = 0$ |
| title_full_unstemmed | Refinement of Kneser theorem on zeros of solutions of the equation $y" + p(x)y = 0$ |
| title_short | Refinement of Kneser theorem on zeros of solutions of the equation $y" + p(x)y = 0$ |
| title_sort | refinement of kneser theorem on zeros of solutions of the equation $y" + p(x)y = 0$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5314 |
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