Условия колеблемости и неколеблемости решений одного класса полулинейных дифференциальных уравнений второго порядка
For a class of second-order semilinear differential equations, we prove theorems on oscillatory and nonoscillatory nature of all proper solutions. These theorems are analogs of the well-known Kneser theorems for linear differential equations.
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| Date: | 2007 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Інститут математики НАН України
2007
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164089 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Условия колеблемости и неколеблемости решений одного класса полулинейных дифференциальных уравнений второго порядка / В.М. Евтухов, Н.С. Васильева // Український математичний журнал. — 2007. — Т. 59, № 4. — С. 458–466. — Бібліогр.: 6 назв. — рус. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | For a class of second-order semilinear differential equations, we prove theorems on oscillatory and
nonoscillatory nature of all proper solutions. These theorems are analogs of the well-known Kneser
theorems for linear differential equations. |
|---|