| DOŠLÝ, Ondřej and Vojtěch RŮŽIČKA. Nonoscillation criteria and energy functional for even-order half-linear two-term differential equations. Electron. J. Diff. Equations. State University and the University of North Texas, 2016, vol. 2016, April, p. "nestrankovano", 17 pp. ISSN 1072-6691. |
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@article{1343796,
author = {Došlý, Ondřej and Růžička, Vojtěch},
article_number = {April},
keywords = {even-order half-linear differential equation; energy functional; nonoscillation; Wirtinger inequality},
language = {eng},
issn = {1072-6691},
journal = {Electron. J. Diff. Equations},
title = {Nonoscillation criteria and energy functional for even-order half-linear two-term differential equations},
url = {http://ejde.math.txstate.edu/},
volume = {2016},
year = {2016}
}
TY - JOUR
ID - 1343796
AU - Došlý, Ondřej - Růžička, Vojtěch
PY - 2016
TI - Nonoscillation criteria and energy functional for even-order half-linear two-term differential equations
JF - Electron. J. Diff. Equations
VL - 2016
IS - April
SP - "nestrankovano"
EP - "nestrankovano"
PB - State University and the University of North Texas
SN - 10726691
KW - even-order half-linear differential equation
KW - energy functional
KW - nonoscillation
KW - Wirtinger inequality
UR - http://ejde.math.txstate.edu/
L2 - http://ejde.math.txstate.edu/
N2 - We investigate oscillatory properties of even-order half-linear differential equations and conditions for negativity of the associated energy functional. First, using the relationship between positivity of the functional and nonoscillation of the investigated equation, we prove Hille-Nehari type nonoscillation criteria which extend criteria known in the linear case. In the second part of the paper, we present conditions which guarantee that the energy functional attains a negative value, i.e., it is unbounded below.
ER -
DOŠLÝ, Ondřej and Vojtěch RŮŽIČKA. Nonoscillation criteria and energy functional for even-order half-linear two-term differential equations. \textit{Electron. J. Diff. Equations}. State University and the University of North Texas, 2016, vol.~2016, April, p.~''nestrankovano'', 17 pp. ISSN~1072-6691.
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