Second order nonlinear differential equations with an infinite set of periodic solutions
For the differential equation u′′ = f(t, u, u′), where the function f : R × R² → R is periodic in the first argument and f(t, x, 0) ≡ 0, sufficient conditions for the existence of a continuum of nonconstant periodic solutions are found.
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| Date: | 2008 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2008
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| Series: | Нелінійні коливання |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/178191 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Second order nonlinear differential equations with an infinite set of periodic solutions / I.T. Kiguradze // Нелінійні коливання. — 2008. — Т. 11, № 4. — С. 495-500. — Бібліогр.: 16 назв. — англ. |