Keywords: advanced equations; nonmonotone argument; oscillatory solution
@article{10_5817_AM2024_3_145,
author = {Kili\c{c}, Nurten and \"Ocalan, \"Ozkan and Yildiz, Mustafa Kemal},
title = {An improved oscillation theorem for nonlinear differential equations of advanced type},
journal = {Archivum mathematicum},
pages = {145--152},
year = {2024},
volume = {60},
number = {3},
doi = {10.5817/AM2024-3-145},
mrnumber = {4805417},
zbl = {07893345},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2024-3-145/}
}
TY - JOUR AU - Kiliç, Nurten AU - Öcalan, Özkan AU - Yildiz, Mustafa Kemal TI - An improved oscillation theorem for nonlinear differential equations of advanced type JO - Archivum mathematicum PY - 2024 SP - 145 EP - 152 VL - 60 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.5817/AM2024-3-145/ DO - 10.5817/AM2024-3-145 LA - en ID - 10_5817_AM2024_3_145 ER -
%0 Journal Article %A Kiliç, Nurten %A Öcalan, Özkan %A Yildiz, Mustafa Kemal %T An improved oscillation theorem for nonlinear differential equations of advanced type %J Archivum mathematicum %D 2024 %P 145-152 %V 60 %N 3 %U http://geodesic.mathdoc.fr/articles/10.5817/AM2024-3-145/ %R 10.5817/AM2024-3-145 %G en %F 10_5817_AM2024_3_145
Kiliç, Nurten; Öcalan, Özkan; Yildiz, Mustafa Kemal. An improved oscillation theorem for nonlinear differential equations of advanced type. Archivum mathematicum, Tome 60 (2024) no. 3, pp. 145-152. doi: 10.5817/AM2024-3-145
[1] Kılıç, N., Öcalan, Ö., Özkan, U.M.: Oscillation tests for nonlinear differential equations with several nonmonotone advanced arguments. Appl. Math. E-Notes 21 (2021), 253–262. | MR
[2] Koplatadze, R.G., Chanturija, T.A.: Oscillating and monotone solutions of first-order differential equations with deviating arguments. Differ. Uravn. 8 (1982), 1463–1465. | MR
[3] Kulenovic, M.R., Grammatikopoulos, M.K.: Some comparison and oscillation results for first order differential equations and inequalities with a deviating argument. J. Math. Anal. Appl. 131 (1988), 67–84. | DOI | MR
[4] Kusano, T.: On even order functional differential equations with advanced and retarded arguments. J. Differential Equations 45 (1982), 75–84. | DOI | MR
[5] Ladas, G., Stavroulakis, I.P.: Oscillations caused by several retarded and advanced arguments. J. Differential Equations 44 (1982), 134–152. | DOI | MR
[6] Ladde, G.S., Lakshmikantham, V., Zhang, B.G.: Oscillation Theory of Differential Equations with Deviating Arguments. Monographs and Textbooks in Pure and Applied Mathematics, vol. 110, Marcel Dekker, Inc., New York, 1987. | MR | Zbl
[7] Li, X., Zhu, D.: Oscillation and nonoscillation of advanced differential equations with variable coefficients. J. Math. Anal. Appl. 269 (2002), 462–488. | DOI | MR
[8] Öcalan, Ö., Kılıç, N., Özkan, U.M.: Oscillatory behavior of nonlinear advanced differential equations with a non-monotone argument. Acta Math. Univ. Comenian. (N.S.) 88 (2019), 239–246. | MR
[9] Öcalan, Ö., Özkan, U.M.: Oscillations of dynamic equations on time scales with advanced arguments. Int. J. Dyn. Syst. Differ. Equ. 6 (2016), 275–284. | MR
Cité par Sources :