Další formáty:
BibTeX
LaTeX
RIS
@article{2301657,
author = {Došlá, Zuzana and Fujimoto, Kodai},
article_number = {1},
doi = {http://dx.doi.org/10.1007/s00605-023-01835-0},
keywords = {Asymptotic behavior; Nonoscillatory solutions; Extremal solutions; Weakly increasing solutions; p(t)-Laplacian; Half-linear differential equations},
language = {eng},
issn = {0026-9255},
journal = {Monatshefte für Mathematik},
title = {Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian},
url = {https://doi.org/10.1007/s00605-023-01835-0},
volume = {201},
year = {2023}
}
TY - JOUR
ID - 2301657
AU - Došlá, Zuzana - Fujimoto, Kodai
PY - 2023
TI - Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian
JF - Monatshefte für Mathematik
VL - 201
IS - 1
SP - 65-78
EP - 65-78
PB - Springer
SN - 00269255
KW - Asymptotic behavior
KW - Nonoscillatory solutions
KW - Extremal solutions
KW - Weakly increasing solutions
KW - p(t)-Laplacian
KW - Half-linear differential equations
UR - https://doi.org/10.1007/s00605-023-01835-0
N2 - This paper deals with the nonoscillatory solutions of the nonlinear differential equation (a(t)|x'|(p(t)-2)x')' +b(t)|x|(?-2)x = 0 involving "singular" p(t)-Laplacian. Sufficient conditions are given for the existence of extremal solutions, which do not exist in the conventional cases. In addition, we prove the coexistence of extremal solutions and weakly increasing solutions. Some examples are given to illustrate our results.
ER -
DOŠLÁ, Zuzana a Kodai FUJIMOTO. Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian. \textit{Monatshefte für Mathematik}. Springer, 2023, roč.~201, č.~1, s.~65-78. ISSN~0026-9255. Dostupné z: https://dx.doi.org/10.1007/s00605-023-01835-0.
|
