Conditions for the existence and asymptotic of a class of solutions of essential nonlinear differential equations of the second order (in Russian)
We consider the ordinary differential equation of the second order containing in the righthand side the sum of nonlinearities correctly varying concerning unknown function and its derivative of the first order. Necessary and sufficient conditions of existence of a wide class of monotone solutions, a...
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| Format: | Article |
| Language: | deu |
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Ivan Franko National University of Lviv
2011-11-01
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| Series: | Математичні Студії |
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| Online Access: | http://matstud.org.ua/texts/2011/36_2/176-187.pdf |
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| author | А. A. Kozma |
| author_facet | А. A. Kozma |
| author_sort | А. A. Kozma |
| collection | DOAJ |
| description | We consider the ordinary differential equation of the second order containing in the righthand side the sum of nonlinearities correctly varying concerning unknown function and its derivative of the first order. Necessary and sufficient conditions of existence of a wide class of monotone solutions, and exact asymptotic representations of solutions from the given class in a neighborhood of a singular point are established. |
| format | Article |
| id | doaj-art-4715d7bf606a430ea92a5b24e64a40c3 |
| institution | Kabale University |
| issn | 1027-4634 |
| language | deu |
| publishDate | 2011-11-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-4715d7bf606a430ea92a5b24e64a40c32025-08-20T03:56:13ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342011-11-01362176187Conditions for the existence and asymptotic of a class of solutions of essential nonlinear differential equations of the second order (in Russian)А. A. KozmaWe consider the ordinary differential equation of the second order containing in the righthand side the sum of nonlinearities correctly varying concerning unknown function and its derivative of the first order. Necessary and sufficient conditions of existence of a wide class of monotone solutions, and exact asymptotic representations of solutions from the given class in a neighborhood of a singular point are established.http://matstud.org.ua/texts/2011/36_2/176-187.pdfdifferential equationasymptotic representation of solution |
| spellingShingle | А. A. Kozma Conditions for the existence and asymptotic of a class of solutions of essential nonlinear differential equations of the second order (in Russian) Математичні Студії differential equation asymptotic representation of solution |
| title | Conditions for the existence and asymptotic of a class of solutions of essential nonlinear differential equations of the second order (in Russian) |
| title_full | Conditions for the existence and asymptotic of a class of solutions of essential nonlinear differential equations of the second order (in Russian) |
| title_fullStr | Conditions for the existence and asymptotic of a class of solutions of essential nonlinear differential equations of the second order (in Russian) |
| title_full_unstemmed | Conditions for the existence and asymptotic of a class of solutions of essential nonlinear differential equations of the second order (in Russian) |
| title_short | Conditions for the existence and asymptotic of a class of solutions of essential nonlinear differential equations of the second order (in Russian) |
| title_sort | conditions for the existence and asymptotic of a class of solutions of essential nonlinear differential equations of the second order in russian |
| topic | differential equation asymptotic representation of solution |
| url | http://matstud.org.ua/texts/2011/36_2/176-187.pdf |
| work_keys_str_mv | AT aakozma conditionsfortheexistenceandasymptoticofaclassofsolutionsofessentialnonlineardifferentialequationsofthesecondorderinrussian |