Linear asymptotic behaviour of second order ordinary differential equations

Mats Ehrnström

doi:10.1017/S0017089507003461

Linear asymptotic behaviour of second order ordinary differential equations

Mats Ehrnström

Mathematics (Faculty of Sciences)

Research output: Contribution to journal › Article › peer-review

Abstract

We study the semilinear differential equation $u^{primeprime} + F(t,u,u^prime) = 0$ on a half-line. Under different growth conditions on the function $F$, equations with globally defined solutions asymptotic to lines are characterized. Both fixed initial data and fixed asymptote are considered.

Original language	English
Pages (from-to)	105-120
Journal	Glasgow Mathematical Journal
Volume	49
Issue number	1
DOIs	https://doi.org/10.1017/S0017089507003461
Publication status	Published - 2007

Subject classification (UKÄ)

Mathematical Sciences

Access to Document

10.1017/S0017089507003461

Cite this

@article{b16e3f87801f4771a66afb27a716c522,

title = "Linear asymptotic behaviour of second order ordinary differential equations",

abstract = "We study the semilinear differential equation $u^{primeprime} + F(t,u,u^prime) = 0$ on a half-line. Under different growth conditions on the function $F$, equations with globally defined solutions asymptotic to lines are characterized. Both fixed initial data and fixed asymptote are considered.",

author = "Mats Ehrnstr{\"o}m",

year = "2007",

doi = "10.1017/S0017089507003461",

language = "English",

volume = "49",

pages = "105--120",

journal = "Glasgow Mathematical Journal",

issn = "0017-0895",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

T1 - Linear asymptotic behaviour of second order ordinary differential equations

AU - Ehrnström, Mats

PY - 2007

Y1 - 2007

N2 - We study the semilinear differential equation $u^{primeprime} + F(t,u,u^prime) = 0$ on a half-line. Under different growth conditions on the function $F$, equations with globally defined solutions asymptotic to lines are characterized. Both fixed initial data and fixed asymptote are considered.

AB - We study the semilinear differential equation $u^{primeprime} + F(t,u,u^prime) = 0$ on a half-line. Under different growth conditions on the function $F$, equations with globally defined solutions asymptotic to lines are characterized. Both fixed initial data and fixed asymptote are considered.

U2 - 10.1017/S0017089507003461

DO - 10.1017/S0017089507003461

M3 - Article

SN - 0017-0895

VL - 49

SP - 105

EP - 120

JO - Glasgow Mathematical Journal

JF - Glasgow Mathematical Journal

IS - 1

ER -

Linear asymptotic behaviour of second order ordinary differential equations

Abstract

Subject classification (UKÄ)

Access to Document

Fingerprint

Cite this