| DOŠLÁ, Zuzana a Kōdai FUJIMOTO. Asymptotic behavior of solutions to differential equations with p(t)-Laplacian. Communications in Contemporary Mathematics. World Scientific Publishing Company, 2022, roč. 24, č. 10, s. "2150046-1"-"2150046-22", 22 s. ISSN 0219-1997. Dostupné z: https://dx.doi.org/10.1142/S0219199721500462. |
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@article{1830701,
author = {Došlá, Zuzana and Fujimoto, Kōdai},
article_number = {10},
doi = {http://dx.doi.org/10.1142/S0219199721500462},
keywords = {Asymptotic behavior; bounded solutions; proper solutions; uniqueness; minimal sets; principal solutions; p(t)-Laplacian; half-linear differential equations},
language = {eng},
issn = {0219-1997},
journal = {Communications in Contemporary Mathematics},
title = {Asymptotic behavior of solutions to differential equations with p(t)-Laplacian},
url = {https://doi.org/10.1142/S0219199721500462},
volume = {24},
year = {2022}
}
TY - JOUR
ID - 1830701
AU - Došlá, Zuzana - Fujimoto, Kōdai
PY - 2022
TI - Asymptotic behavior of solutions to differential equations with p(t)-Laplacian
JF - Communications in Contemporary Mathematics
VL - 24
IS - 10
SP - "2150046-1"-"2150046-22"
EP - "2150046-1"-"2150046-22"
PB - World Scientific Publishing Company
SN - 02191997
KW - Asymptotic behavior
KW - bounded solutions
KW - proper solutions
KW - uniqueness
KW - minimal sets
KW - principal solutions
KW - p(t)-Laplacian
KW - half-linear differential equations
UR - https://doi.org/10.1142/S0219199721500462
N2 - This paper deals with the second-order nonlinear differential equation (a(t)|x'p(t)−2 x')'= b(t)|x|q(t)−2x involving p(t)-Laplacian. The existence and the uniqueness of nonoscillatory solutions of this equation in certain classes, which are related with integral conditions, are studied. Moreover, a minimal set for solutions of this equation is introduced as an extension of the concept of principal solutions for linear equations. Obtained results extend the results for equations with p-Laplacian.
ER -
DOŠLÁ, Zuzana a Kōdai FUJIMOTO. Asymptotic behavior of solutions to differential equations with p(t)-Laplacian. \textit{Communications in Contemporary Mathematics}. World Scientific Publishing Company, 2022, roč.~24, č.~10, s.~''2150046-1''-''2150046-22'', 22 s. ISSN~0219-1997. Dostupné z: https://dx.doi.org/10.1142/S0219199721500462.
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