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Qualitative behavior of global solutions to some nonlinear fourth order differential equations |
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| Authors: | Elvise Berchio Filippo Gazzola Paschalis Karageorgis |
| Affiliation: | a Dipartimento di Matematica del Politecnico, Piazza L. da Vinci 32, 20133 Milano, Italy b Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Via Cozzi 53, 20125 Milano, Italy c School of Mathematics, Trinity College, Dublin 2, Ireland |
| Abstract: | We study global solutions to a fourth order semilinear ordinary differential equation. We determine sufficient conditions on the nonlinearity that ensure global continuation of the solutions. Furthermore, we discuss their qualitative behaviors such as oscillations and boundedness. |
| Keywords: | 34C11 34A12 |
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