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.
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
@article{10_1017_S0017089507003461,
author = {EHRNSTR\"OM, MATS},
title = {LINEAR {ASYMPTOTIC} {BEHAVIOUR} {OF} {SECOND} {ORDER} {ORDINARY} {DIFFERENTIAL} {EQUATIONS}},
journal = {Glasgow mathematical journal},
pages = {105--120},
year = {2007},
volume = {49},
number = {1},
doi = {10.1017/S0017089507003461},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003461/}
}
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