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LINEAR ASYMPTOTIC BEHAVIOUR OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS

Published online by Cambridge University Press:  01 January 2007

MATS EHRNSTRÖM
MATS EHRNSTRÖM*
Affiliation:
Centre for Mathematical Sciences, Lund University, PO Box 118, 22100 Lund, Sweden. e-mail: mats.ehrnstrom@math.lu.se
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Abstract.

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We study the semilinear differential equation u″ + F(t,u,u′)=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.

Keywords

34A1234E10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 1 , January 2007 , pp. 105 - 120
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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