Oscillation theorems for certain even order neutral differential equations
Archivum Mathematicum (2007)
- Volume: 043, Issue: 2, page 105-122
- ISSN: 0044-8753
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topYang, Qi Gui, and Cheng, Sui-Sun. "Oscillation theorems for certain even order neutral differential equations." Archivum Mathematicum 043.2 (2007): 105-122. <http://eudml.org/doc/250163>.
@article{Yang2007,
abstract = {This paper is concerned with a class of even order nonlinear differential equations of the form \[ \frac\{d\}\{dt\}\Big ( \Big |\left( x(t)+p(t)x(\tau (t))\right) ^\{(n-1)\}\Big | ^\{\alpha -1\}(x(t)+p(t)x(\tau (t)))^\{(n-1)\}\Big ) +F\big ( t,x(g(t))\big ) =0\,, \]
where $n$ is even and $t\ge t_\{0\}$. By using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which are either extensions of or complementary to a number of existing results. Our results are more general and sharper than some previous results even for second order equations.},
author = {Yang, Qi Gui, Cheng, Sui-Sun},
journal = {Archivum Mathematicum},
keywords = {neutral differential equation; oscillation criterion; Riccati transform; averaging method; neutral differential equation; oscillation criterion; Riccati transform; averaging method},
language = {eng},
number = {2},
pages = {105-122},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Oscillation theorems for certain even order neutral differential equations},
url = {http://eudml.org/doc/250163},
volume = {043},
year = {2007},
}
TY - JOUR
AU - Yang, Qi Gui
AU - Cheng, Sui-Sun
TI - Oscillation theorems for certain even order neutral differential equations
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 2
SP - 105
EP - 122
AB - This paper is concerned with a class of even order nonlinear differential equations of the form \[ \frac{d}{dt}\Big ( \Big |\left( x(t)+p(t)x(\tau (t))\right) ^{(n-1)}\Big | ^{\alpha -1}(x(t)+p(t)x(\tau (t)))^{(n-1)}\Big ) +F\big ( t,x(g(t))\big ) =0\,, \]
where $n$ is even and $t\ge t_{0}$. By using the generalized Riccati transformation and the averaging technique, new oscillation criteria are obtained which are either extensions of or complementary to a number of existing results. Our results are more general and sharper than some previous results even for second order equations.
LA - eng
KW - neutral differential equation; oscillation criterion; Riccati transform; averaging method; neutral differential equation; oscillation criterion; Riccati transform; averaging method
UR - http://eudml.org/doc/250163
ER -
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