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@article{2301320,
author = {Hasil, Petr and Veselý, Michal},
article_number = {7},
doi = {http://dx.doi.org/10.1002/mana.202100169},
keywords = {half-linear equations; linear equations; nonoscillation criterion; oscillation constant; oscillation criterion; oscillation theory; p-Laplacian},
language = {eng},
issn = {0025-584X},
journal = {Mathematische Nachrichten},
title = {Oscillation and nonoscillation of perturbed nonlinear equations with p-Laplacian},
url = {https://doi.org/10.1002/mana.202100169},
volume = {296},
year = {2023}
}
TY - JOUR
ID - 2301320
AU - Hasil, Petr - Veselý, Michal
PY - 2023
TI - Oscillation and nonoscillation of perturbed nonlinear equations with p-Laplacian
JF - Mathematische Nachrichten
VL - 296
IS - 7
SP - 2809-2837
EP - 2809-2837
PB - Wiley-VCH Verlag GmbH
SN - 0025584X
KW - half-linear equations
KW - linear equations
KW - nonoscillation criterion
KW - oscillation constant
KW - oscillation criterion
KW - oscillation theory
KW - p-Laplacian
UR - https://doi.org/10.1002/mana.202100169
N2 - In this paper, we analyze oscillatory properties of perturbed half-linear differential equations (i.e., equations with one-dimensional p-Laplacian). The presented research covers the Euler and Riemann-Weber type equations with very general coefficients. We prove an oscillatory result and a nonoscillatory one, which show that the studied equations are conditionally oscillatory (i.e., there exists a certain threshold value that separates oscillatory and nonoscillatory equations). The obtained criteria are easy to use. Since the number of perturbations is arbitrary, we solve the oscillation behavior of the equations in the critical setting when the coefficients give exactly the threshold value. The results are new for linear equations as well.
ER -
HASIL, Petr and Michal VESELÝ. Oscillation and nonoscillation of perturbed nonlinear equations with p-Laplacian. \textit{Mathematische Nachrichten}. Wiley-VCH Verlag GmbH, 2023, vol.~296, No~7, p.~2809-2837. ISSN~0025-584X. Available from: https://dx.doi.org/10.1002/mana.202100169.
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