LINEAR ASYMPTOTIC BEHAVIOUR OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS
Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 105-120

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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.
DOI : 10.1017/S0017089507003461
Mots-clés : 34A12, 34E10
EHRNSTRÖM, MATS. LINEAR ASYMPTOTIC BEHAVIOUR OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS. Glasgow mathematical journal, Tome 49 (2007) no. 1, pp. 105-120. doi: 10.1017/S0017089507003461
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