1Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN, U.S.A 2Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza, Egypt 3Department of Mathematics, Faculty of Arts and Sciences, Tokat Gaziosmanpasa University, Tokat, Turkey
Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 2, pp. 113-120
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John R. Graef; Said R. Grace; Ercan Tunc; John R. Graef; Said R. Grace; Ercan Tunc. Oscillation of second-order nonlinear noncanonical dynamic equations with deviating arguments. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 2, pp. 113-120. http://geodesic.mathdoc.fr/item/AMUC_2022_91_2_a1/
@article{AMUC_2022_91_2_a1,
author = {John R. Graef and Said R. Grace and Ercan Tunc and John R. Graef and Said R. Grace and Ercan Tunc},
title = { Oscillation of second-order nonlinear noncanonical dynamic equations with deviating arguments},
journal = {Acta mathematica Universitatis Comenianae},
pages = {113--120},
year = {2022},
volume = {91},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_2_a1/}
}
TY - JOUR
AU - John R. Graef
AU - Said R. Grace
AU - Ercan Tunc
AU - John R. Graef
AU - Said R. Grace
AU - Ercan Tunc
TI - Oscillation of second-order nonlinear noncanonical dynamic equations with deviating arguments
JO - Acta mathematica Universitatis Comenianae
PY - 2022
SP - 113
EP - 120
VL - 91
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2022_91_2_a1/
ID - AMUC_2022_91_2_a1
ER -
%0 Journal Article
%A John R. Graef
%A Said R. Grace
%A Ercan Tunc
%A John R. Graef
%A Said R. Grace
%A Ercan Tunc
%T Oscillation of second-order nonlinear noncanonical dynamic equations with deviating arguments
%J Acta mathematica Universitatis Comenianae
%D 2022
%P 113-120
%V 91
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2022_91_2_a1/
%F AMUC_2022_91_2_a1
The purpose of this paper is to establish some new criteria for the oscillation of the second-order nonlinear noncanonical dynamic equation $(a(t)x^{\Delta}(t))^{\Delta} + q(t)x^{\beta}(g(t)) = 0$ under the condition $\int^{\infty}_t \frac{1}{a(s)} \Delta s<\infty$. The authors consider both delay and advanced equations. Anexample of Euler type equations is provided to illustrate the significance of the main results.
