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@article{1694579,
author = {Došlá, Zuzana and Fujimoto, Kodai},
article_location = {San Diego},
article_number = {1},
doi = {http://dx.doi.org/10.1016/j.jmaa.2019.123674},
keywords = {Oscillation; Asymptotic behavior; Unbounded solutions; Weakly increasing solutions; Extremal solutions; Prescribed mean curvature equations},
language = {eng},
issn = {0022-247X},
journal = {Journal of Mathematical Analysis and Applications},
title = {Asymptotic problems for nonlinear ordinary differential equations with phi-Laplacian},
url = {https://doi.org/10.1016/j.jmaa.2019.123674},
volume = {484},
year = {2020}
}
TY - JOUR
ID - 1694579
AU - Došlá, Zuzana - Fujimoto, Kodai
PY - 2020
TI - Asymptotic problems for nonlinear ordinary differential equations with phi-Laplacian
JF - Journal of Mathematical Analysis and Applications
VL - 484
IS - 1
SP - 1-19
EP - 1-19
PB - Elsevier
SN - 0022247X
KW - Oscillation
KW - Asymptotic behavior
KW - Unbounded solutions
KW - Weakly increasing solutions
KW - Extremal solutions
KW - Prescribed mean curvature equations
UR - https://doi.org/10.1016/j.jmaa.2019.123674
L2 - https://doi.org/10.1016/j.jmaa.2019.123674
N2 - This paper deals with the asymptotic problems for the nonlinear differential equation (a(t)phi(x'))' + b(t)vertical bar x vertical bar(gamma) sgn x = 0 involving phi-Laplacian. Necessary and sufficient conditions are given for the oscillation of solutions of this equation. Moreover, we study the existence of unbounded solutions with different asymptotic behavior, in particular, weakly increasing solutions and extremal solutions. Examples for prescribed mean curvature equation are given to illustrate our results. (C) 2019 Elsevier Inc. All rights reserved.
ER -
DOŠLÁ, Zuzana a Kodai FUJIMOTO. Asymptotic problems for nonlinear ordinary differential equations with phi-Laplacian. \textit{Journal of Mathematical Analysis and Applications}. San Diego: Elsevier, roč.~484, č.~1, s.~1-19. ISSN~0022-247X. doi:10.1016/j.jmaa.2019.123674. 2020.
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