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.

Qualitative behavior of global solutions to some nonlinear fourth order differential equations / Berchio, Elvise; A., Ferrero; F., Gazzola; P., Karageorgis. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - STAMPA. - 251:(2011), pp. 2696-2727. [10.1016/j.jde.2011.05.036]

Qualitative behavior of global solutions to some nonlinear fourth order differential equations

BERCHIO, ELVISE;
2011

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2522503
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