Asymptotic Behaviour of Solutions of n-th Order Ordinary Differential Equations with Regularly Varying Nonlinearities .
In the paper the question of existence and asymptotic behaviour of P k +∞(λ0)–solutions, k ∈ {3, . . . , n} and λ0 ∈ {1, ±∞}, of a binomial non-autonomous n-th order ordinary differential equation with regularly varying nonlinearities was investigated. The asymptotic formulas of their derivatives of...
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| Format: | Article |
| Language: | English |
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State University “Uzhhorod National University”
2017-12-01
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| Series: | Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
| Online Access: | http://visnyk-math.uzhnu.edu.ua/article/view/144413 |
| _version_ | 1819136712456011776 |
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| author | К. С. Корепанова |
| author_facet | К. С. Корепанова |
| author_sort | К. С. Корепанова |
| collection | DOAJ |
| description | In the paper the question of existence and asymptotic behaviour of P k +∞(λ0)–solutions, k ∈ {3, . . . , n} and λ0 ∈ {1, ±∞}, of a binomial non-autonomous n-th order ordinary differential equation with regularly varying nonlinearities was investigated. The asymptotic formulas of their derivatives of order up to n − 1 were obtained too. |
| first_indexed | 2024-12-22T10:39:20Z |
| format | Article |
| id | doaj.art-b8e08644271a4cd79658afe5ebe8be95 |
| institution | Directory Open Access Journal |
| issn | 2616-7700 |
| language | English |
| last_indexed | 2024-12-22T10:39:20Z |
| publishDate | 2017-12-01 |
| publisher | State University “Uzhhorod National University” |
| record_format | Article |
| series | Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
| spelling | doaj.art-b8e08644271a4cd79658afe5ebe8be952022-12-21T18:29:05ZengState University “Uzhhorod National University”Науковий вісник Ужгородського університету. Серія: Математика і інформатика2616-77002017-12-0102(31)10111410.24144/2616-7700.2017.2(31).101-114144413Asymptotic Behaviour of Solutions of n-th Order Ordinary Differential Equations with Regularly Varying Nonlinearities .К. С. КорепановаIn the paper the question of existence and asymptotic behaviour of P k +∞(λ0)–solutions, k ∈ {3, . . . , n} and λ0 ∈ {1, ±∞}, of a binomial non-autonomous n-th order ordinary differential equation with regularly varying nonlinearities was investigated. The asymptotic formulas of their derivatives of order up to n − 1 were obtained too.http://visnyk-math.uzhnu.edu.ua/article/view/144413 |
| spellingShingle | К. С. Корепанова Asymptotic Behaviour of Solutions of n-th Order Ordinary Differential Equations with Regularly Varying Nonlinearities . Науковий вісник Ужгородського університету. Серія: Математика і інформатика |
| title | Asymptotic Behaviour of Solutions of n-th Order Ordinary Differential Equations with Regularly Varying Nonlinearities . |
| title_full | Asymptotic Behaviour of Solutions of n-th Order Ordinary Differential Equations with Regularly Varying Nonlinearities . |
| title_fullStr | Asymptotic Behaviour of Solutions of n-th Order Ordinary Differential Equations with Regularly Varying Nonlinearities . |
| title_full_unstemmed | Asymptotic Behaviour of Solutions of n-th Order Ordinary Differential Equations with Regularly Varying Nonlinearities . |
| title_short | Asymptotic Behaviour of Solutions of n-th Order Ordinary Differential Equations with Regularly Varying Nonlinearities . |
| title_sort | asymptotic behaviour of solutions of n th order ordinary differential equations with regularly varying nonlinearities |
| url | http://visnyk-math.uzhnu.edu.ua/article/view/144413 |
| work_keys_str_mv | AT kskorepanova asymptoticbehaviourofsolutionsofnthorderordinarydifferentialequationswithregularlyvaryingnonlinearities |