Asymptotic forms of solutions of perturbed half-linear ordinary differential equations

Luey, Sokea, and Usami, Hiroyuki. "Asymptotic forms of solutions of perturbed half-linear ordinary differential equations." Archivum Mathematicum 057.1 (2021): 27-39. <http://eudml.org/doc/297298>.

@article{Luey2021,
abstract = {Asymptotic forms of solutions of half-linear ordinary differential equation $\big (|u^\{\prime \}|^\{\alpha -1\}u^\{\prime \}\big )^\{\prime \}= \alpha \big (1+b(t)\big ) |u|^\{\alpha -1\}u$ are investigated under a smallness condition and some signum conditions on $b(t)$. When $\alpha =1$, our results reduce to well-known ones for linear ordinary differential equations.},
author = {Luey, Sokea, Usami, Hiroyuki},
journal = {Archivum Mathematicum},
keywords = {half-linear ordinary differential equation; asymptotic form},
language = {eng},
number = {1},
pages = {27-39},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Asymptotic forms of solutions of perturbed half-linear ordinary differential equations},
url = {http://eudml.org/doc/297298},
volume = {057},
year = {2021},
}

TY - JOUR
AU - Luey, Sokea
AU - Usami, Hiroyuki
TI - Asymptotic forms of solutions of perturbed half-linear ordinary differential equations
JO - Archivum Mathematicum
PY - 2021
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 057
IS - 1
SP - 27
EP - 39
AB - Asymptotic forms of solutions of half-linear ordinary differential equation $\big (|u^{\prime }|^{\alpha -1}u^{\prime }\big )^{\prime }= \alpha \big (1+b(t)\big ) |u|^{\alpha -1}u$ are investigated under a smallness condition and some signum conditions on $b(t)$. When $\alpha =1$, our results reduce to well-known ones for linear ordinary differential equations.
LA - eng
KW - half-linear ordinary differential equation; asymptotic form
UR - http://eudml.org/doc/297298
ER -