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@article{1542756,
author = {Hasil, Petr and Veselý, Michal},
article_location = {New York},
article_number = {NOV 15 2019},
doi = {http://dx.doi.org/10.1016/j.amc.2019.06.027},
keywords = {Half-linear equations; Conditional oscillation; Oscillation constant; Riccati equation; p-Laplacian; Prüfer angle},
language = {eng},
issn = {0096-3003},
journal = {Applied Mathematics and Computation},
title = {Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations},
url = {https://www.sciencedirect.com/science/article/pii/S0096300319304928},
volume = {361},
year = {2019}
}
TY - JOUR
ID - 1542756
AU - Hasil, Petr - Veselý, Michal
PY - 2019
TI - Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations
JF - Applied Mathematics and Computation
VL - 361
IS - NOV 15 2019
SP - 788-809
EP - 788-809
PB - ELSEVIER SCIENCE INC
SN - 00963003
KW - Half-linear equations
KW - Conditional oscillation
KW - Oscillation constant
KW - Riccati equation
KW - p-Laplacian
KW - Prüfer angle
UR - https://www.sciencedirect.com/science/article/pii/S0096300319304928
L2 - https://www.sciencedirect.com/science/article/pii/S0096300319304928
N2 - The research and results described in this paper belong to the qualitative theory of differential equations (more precisely, the partial differential equations with the one-dimensional p-Laplacian). Using a method whose core is formed by the Prüfer technique, we identify a borderline case between oscillatory and non-oscillatory equations. Moreover, we are able to decide whether the studied equations are oscillatory or not even in the so-called critical (i.e., the borderline) case. The advantage of our approach is the fact that we obtain new and strong results for linear and half-linear equations (i.e., the equations with the one-dimensional p-Laplacian) at the same time. In addition, we are able to work with equations whose coefficients are non-constant and non-periodic. The novelty of our results is documented by examples and corollaries.
ER -
HASIL, Petr and Michal VESELÝ. Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations. \textit{Applied Mathematics and Computation}. New York: ELSEVIER SCIENCE INC, vol.~361, NOV 15 2019, p.~788-809. ISSN~0096-3003. doi:10.1016/j.amc.2019.06.027. 2019.
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