On higher order generalized Emden-Fowler differential equations with delay argument
In the paper the differential equation u⁽ⁿ⁾ (t) + p(t)|u(τ (t))|^(µ(t)) sign u(τ (t)) = 0, is considered. Here, we assume that n ≥ 3, p ∈ Lloc(R₊; R₋), µ ∈ C(R₊; (0, +∞)), τ ∈ C(R₊; R₊), τ (t) ≤ t for t ∈ R₊ and limt→+∞ τ (t) = +∞. In case µ(t) ≡ const > 0, oscillatory properties of equation have...
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| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2015
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/177230 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On higher order generalized Emden-Fowler differential equations with delay argument / A. Domoshnitsky, R. Koplatadze // Нелінійні коливання. — 2015. — Т. 18, № 4. — С. 507-526 — Бібліогр.: 15 назв. — англ. |
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irk-123456789-1772302021-02-13T01:26:01Z On higher order generalized Emden-Fowler differential equations with delay argument Domoshnitsky, A. Koplatadze, R. In the paper the differential equation u⁽ⁿ⁾ (t) + p(t)|u(τ (t))|^(µ(t)) sign u(τ (t)) = 0, is considered. Here, we assume that n ≥ 3, p ∈ Lloc(R₊; R₋), µ ∈ C(R₊; (0, +∞)), τ ∈ C(R₊; R₊), τ (t) ≤ t for t ∈ R₊ and limt→+∞ τ (t) = +∞. In case µ(t) ≡ const > 0, oscillatory properties of equation have been extensively studied, where as if µ(t) ≢ const, to the extent of authors’ knowledge, the analogous questions have not been examined. In this paper, new sufficient conditions for the equation (∗) to have Property B are established. Розглянуто диференцiальне рiвняння u⁽ⁿ⁾ (t) + p(t)|u(τ (t))|^(µ(t)) sign u(τ (t)) = 0 (∗) де n ≥ 3, p ∈ Lloc(R₊; R₋), µ ∈ C(R₊; (0, +∞)), τ ∈ C(R₊; R₊), τ (t) ≤ t для t ∈ R₊ та limt→+∞ τ (t) = +∞. У випадку µ(t) ≡ const > 0 осциляцiйнi властивостi рiвняння (∗) було детально вивчено, тодi як у випадку µ(t) ≢ const, наскiльки вiдомо авторам, подiбнi питання не було розглянуто. У статтi наведено новi достатнi умови для того, щоб рiвняння (∗) мало властивiсть B. 2015 Article On higher order generalized Emden-Fowler differential equations with delay argument / A. Domoshnitsky, R. Koplatadze // Нелінійні коливання. — 2015. — Т. 18, № 4. — С. 507-526 — Бібліогр.: 15 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/177230 517.9 en Нелінійні коливання Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In the paper the differential equation u⁽ⁿ⁾ (t) + p(t)|u(τ (t))|^(µ(t)) sign u(τ (t)) = 0, is considered. Here, we assume that n ≥ 3, p ∈ Lloc(R₊; R₋), µ ∈ C(R₊; (0, +∞)), τ ∈ C(R₊; R₊), τ (t) ≤ t for t ∈ R₊ and limt→+∞ τ (t) = +∞. In case µ(t) ≡ const > 0, oscillatory properties of equation have been extensively studied, where as if µ(t) ≢ const, to the extent of authors’ knowledge, the analogous questions have not been examined. In this paper, new sufficient conditions for the equation (∗) to have Property B are established. |
| format |
Article |
| author |
Domoshnitsky, A. Koplatadze, R. |
| spellingShingle |
Domoshnitsky, A. Koplatadze, R. On higher order generalized Emden-Fowler differential equations with delay argument Нелінійні коливання |
| author_facet |
Domoshnitsky, A. Koplatadze, R. |
| author_sort |
Domoshnitsky, A. |
| title |
On higher order generalized Emden-Fowler differential equations with delay argument |
| title_short |
On higher order generalized Emden-Fowler differential equations with delay argument |
| title_full |
On higher order generalized Emden-Fowler differential equations with delay argument |
| title_fullStr |
On higher order generalized Emden-Fowler differential equations with delay argument |
| title_full_unstemmed |
On higher order generalized Emden-Fowler differential equations with delay argument |
| title_sort |
on higher order generalized emden-fowler differential equations with delay argument |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/177230 |
| citation_txt |
On higher order generalized Emden-Fowler differential equations with delay argument / A. Domoshnitsky, R. Koplatadze // Нелінійні коливання. — 2015. — Т. 18, № 4. — С. 507-526 — Бібліогр.: 15 назв. — англ. |
| series |
Нелінійні коливання |
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AT domoshnitskya onhigherordergeneralizedemdenfowlerdifferentialequationswithdelayargument AT koplatadzer onhigherordergeneralizedemdenfowlerdifferentialequationswithdelayargument |
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2023-10-18T22:43:06Z |
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2023-10-18T22:43:06Z |
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1796156250251067392 |