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

Matematik (naturvetenskapliga fakulteten)

Forskningsoutput: Tidskriftsbidrag › Artikel i vetenskaplig tidskrift › Peer review

Sammanfattning

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.

Originalspråk	engelska
Sidor (från-till)	105-120
Tidskrift	Glasgow Mathematical Journal
Volym	49
Nummer	1
DOI	https://doi.org/10.1017/S0017089507003461
Status	Published - 2007

Ämnesklassifikation (UKÄ)

Matematik

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10.1017/S0017089507003461

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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",

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PY - 2007

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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.

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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

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Linear asymptotic behaviour of second order ordinary differential equations

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