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Linear asymptotic behaviour of second order ordinary differential equations

Ehrnström, Mats LU (2007) In Glasgow Mathematical Journal 49(1). p.105-120
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Glasgow Mathematical Journal
volume
49
issue
1
pages
105 - 120
publisher
Cambridge University Press
external identifiers
  • wos:000254942900011
  • scopus:34249088923
ISSN
0017-0895
DOI
10.1017/S0017089507003461
language
English
LU publication?
yes
id
b16e3f87-801f-4771-a66a-fb27a716c522 (old id 958682)
date added to LUP
2016-04-04 14:10:23
date last changed
2022-03-31 22:04:48
@article{b16e3f87-801f-4771-a66a-fb27a716c522,
  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       = {{Ehrnström, Mats}},
  issn         = {{0017-0895}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{105--120}},
  publisher    = {{Cambridge University Press}},
  series       = {{Glasgow Mathematical Journal}},
  title        = {{Linear asymptotic behaviour of second order ordinary differential equations}},
  url          = {{http://dx.doi.org/10.1017/S0017089507003461}},
  doi          = {{10.1017/S0017089507003461}},
  volume       = {{49}},
  year         = {{2007}},
}