Asymptotic problems for fourth-order nonlinear differential equations

We study vanishing at infinity solutions of a fourth-order nonlinear differential equation. We state sufficient and/or necessary conditions for the existence of the positive solution on the half-line [ 0 , ∞ ) which is vanishing at infinity and sufficient conditions ensuring that all eventually posi...

Full description

Saved in:

Bibliographic Details
Published in:	Boundary value problems Vol. 2013; no. 1; p. 89
Main Authors:	Bartušek, Miroslav, Došlá, Zuzana
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 12-04-2013 BioMed Central Ltd
Subjects:	Analysis Approximations and Expansions Difference and Functional Equations Jean Mawhin's Achievements in Nonlinear Analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Quasilinear Equation Oscillation Problem Nonoscillatory Solution Homoclinics Solution Asymptotic Boundary Condition
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We study vanishing at infinity solutions of a fourth-order nonlinear differential equation. We state sufficient and/or necessary conditions for the existence of the positive solution on the half-line [ 0 , ∞ ) which is vanishing at infinity and sufficient conditions ensuring that all eventually positive solutions are vanishing at infinity. We also discuss an oscillation problem.
ISSN:	1687-2770 1687-2770
DOI:	10.1186/1687-2770-2013-89