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

Research output: Contribution to journal › Article › 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.

Original language	English
Pages (from-to)	2696-2727
Number of pages	32
Journal	Journal of Differential Equations
Volume	251
Issue number	10
DOIs	https://doi.org/10.1016/j.jde.2011.05.036
Publication status	Published - 15 Nov 2011
Externally published	Yes

Access to Document

10.1016/j.jde.2011.05.036

Cite this

@article{4f24e0f77eeb483e94c45d00e9008fa8,

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",

month = nov,

day = "15",

doi = "10.1016/j.jde.2011.05.036",

language = "English",

volume = "251",

pages = "2696--2727",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

number = "10",

}

TY - JOUR

T1 - Qualitative behavior of global solutions to some nonlinear fourth order differential equations

AU - Berchio, Elvise

AU - Ferrero, Alberto

AU - Gazzola, Filippo

AU - Karageorgis, Paschalis

PY - 2011/11/15

Y1 - 2011/11/15

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.

UR - https://www.scopus.com/pages/publications/80051934582

U2 - 10.1016/j.jde.2011.05.036

DO - 10.1016/j.jde.2011.05.036

M3 - Article

SN - 0022-0396

VL - 251

SP - 2696

EP - 2727

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 10

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this