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 SM ISO690:2012VLADIMIRESCU, Cristian. Limits of solutions to a nonlinear second-order ODE. In: Conference on Applied and Industrial Mathematics: CAIM 2017, 14-17 septembrie 2017, Iași. Chișinău: Casa Editorial-Poligrafică „Bons Offices”, 2017, Ediţia 25, p. 26. ISBN 978-9975-76-247-2. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
| Conference on Applied and Industrial Mathematics Ediţia 25, 2017 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, Romania, 14-17 septembrie 2017 | ||||||
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| MSC 2010: 34A40, 34C37 | ||||||
| Pag. 26-26 | ||||||
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In this talk the existence of solutions to Eq. x00 + 2f (t) x0 + (t)x + g (t; x) = 0; t 2 R+; is discussed. Our approach allows us extension to the case of the whole real line, when the existence of homoclinic solutions having zero limit at 1, is deduced. The result is obtained through the method of Lyapunov function and di erential inequalities. |
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| Cuvinte-cheie second-order ODE, Lyapunov function, solutions having zero limit at 1, homoclinic solution |
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