On conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation
We establish sufficient conditions for oscillation and nonoscillation of regular solutions of the secondorder differential equation $y'' + p(t)|y|^{1-\lambda} |y'|^{\lambda} \,{\text {\rm sign }}\, y = 0$, where $λ < 1$ and $p: [a,ω[→ ℝ,\, −∞ < a < ω ≤...
Збережено в:
| Дата: | 1994 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1994
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5674 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511900863823872 |
|---|---|
| author | Evtukhov, V. M. Євтухов, В. М. |
| author_facet | Evtukhov, V. M. Євтухов, В. М. |
| author_sort | Evtukhov, V. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:43Z |
| description | We establish sufficient conditions for oscillation and nonoscillation of regular solutions of the secondorder differential equation $y'' + p(t)|y|^{1-\lambda} |y'|^{\lambda} \,{\text {\rm sign }}\, y = 0$, where $λ < 1$ and $p: [a,ω[→ ℝ,\, −∞ < a < ω ≤ +∞$ is a locally summable function. |
| first_indexed | 2026-03-24T03:20:15Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5674 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:20:15Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/33/3a4b840dfc1efe79d0a45ba260b97433.pdf |
| spelling | umjimathkievua-article-56742020-03-19T09:15:43Z On conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation Об условиях колеблемое гн и неколеблемости решений одного полулинейного дифференциального уравнения Evtukhov, V. M. Євтухов, В. М. We establish sufficient conditions for oscillation and nonoscillation of regular solutions of the secondorder differential equation $y'' + p(t)|y|^{1-\lambda} |y'|^{\lambda} \,{\text {\rm sign }}\, y = 0$, where $λ < 1$ and $p: [a,ω[→ ℝ,\, −∞ < a < ω ≤ +∞$ is a locally summable function. Встановлені достатні умови коливності та неколивності правильних розв'язків диференціального рівняння другого порядку $y'' + p(t)|y|^{1-\lambda} |y'|^{\lambda} \,{\text {\rm sign }}\, y = 0$, де $λ < 1$ і $p: [a,ω[→ ℝ,\, −∞ < a < ω ≤ +∞$, — локально сумовна функція. Institute of Mathematics, NAS of Ukraine 1994-07-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5674 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 7 (1994); 833–841 Український математичний журнал; Том 46 № 7 (1994); 833–841 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5674/8033 https://umj.imath.kiev.ua/index.php/umj/article/view/5674/8034 Copyright (c) 1994 Evtukhov V. M. |
| spellingShingle | Evtukhov, V. M. Євтухов, В. М. On conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation |
| title | On conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation |
| title_alt | Об условиях колеблемое гн и неколеблемости решений одного полулинейного дифференциального уравнения |
| title_full | On conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation |
| title_fullStr | On conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation |
| title_full_unstemmed | On conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation |
| title_short | On conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation |
| title_sort | on conditions for oscillation and nonoscillation of the solutions of a semilinear second-order differential equation |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5674 |
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