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

Elvise Berchio; Alberto Ferrero; Filippo Gazzola; Paschalis Karageorgis

doi:10.1016/j.jde.2011.05.036

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

Elvise Berchio
, Alberto Ferrero
, Filippo Gazzola
, Paschalis Karageorgis

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

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.

Lingua originale	Inglese
pagine (da-a)	2696-2727
Numero di pagine	32
Rivista	Journal of Differential Equations
Volume	251
Numero di pubblicazione	10
DOI	https://doi.org/10.1016/j.jde.2011.05.036
Stato di pubblicazione	Pubblicato - 15 nov 2011
Pubblicato esternamente	Sì

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10.1016/j.jde.2011.05.036

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title = "Qualitative behavior of global solutions to some nonlinear fourth order differential equations",

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.",

author = "Elvise Berchio and Alberto Ferrero and Filippo Gazzola and Paschalis Karageorgis",

year = "2011",

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AU - Berchio, Elvise

AU - Ferrero, Alberto

AU - Gazzola, Filippo

AU - Karageorgis, Paschalis

PY - 2011/11/15

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N2 - 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.

AB - 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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DO - 10.1016/j.jde.2011.05.036

M3 - Article

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

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

Abstract

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