Variational method and conjugacy criteria for half-linear differential equations
Archivum mathematicum, Tome 49 (2013) no. 1, pp. 9-16
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We establish new conjugacy criteria for half-linear second order differential equations. These criteria are based on the relationship between conjugacy of the investigated equation and nonpositivity of the associated energy functional.
DOI :
10.5817/AM2013-1-9
Classification :
34A34, 34C10
Keywords: half-linear differential equation; conjugacy criteria; variational principle; energy functional; half-linear trigonometric functions
Keywords: half-linear differential equation; conjugacy criteria; variational principle; energy functional; half-linear trigonometric functions
@article{10_5817_AM2013_1_9,
author = {Chv\'atal, Martin and Do\v{s}l\'y, Ond\v{r}ej},
title = {Variational method and conjugacy criteria for half-linear differential equations},
journal = {Archivum mathematicum},
pages = {9--16},
publisher = {mathdoc},
volume = {49},
number = {1},
year = {2013},
doi = {10.5817/AM2013-1-9},
mrnumber = {3073011},
zbl = {06321143},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2013-1-9/}
}
TY - JOUR AU - Chvátal, Martin AU - Došlý, Ondřej TI - Variational method and conjugacy criteria for half-linear differential equations JO - Archivum mathematicum PY - 2013 SP - 9 EP - 16 VL - 49 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2013-1-9/ DO - 10.5817/AM2013-1-9 LA - en ID - 10_5817_AM2013_1_9 ER -
%0 Journal Article %A Chvátal, Martin %A Došlý, Ondřej %T Variational method and conjugacy criteria for half-linear differential equations %J Archivum mathematicum %D 2013 %P 9-16 %V 49 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5817/AM2013-1-9/ %R 10.5817/AM2013-1-9 %G en %F 10_5817_AM2013_1_9
Chvátal, Martin; Došlý, Ondřej. Variational method and conjugacy criteria for half-linear differential equations. Archivum mathematicum, Tome 49 (2013) no. 1, pp. 9-16. doi: 10.5817/AM2013-1-9
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