Keywords: infinite sum condition; retarded argument; advanced argument; oscillatory solution; nonoscillatory solution
@article{10_21136_MB_2017_0055_16,
author = {Chatzarakis, George E. and Dix, Julio G.},
title = {Oscillations of nonlinear difference equations with deviating arguments},
journal = {Mathematica Bohemica},
pages = {67--87},
year = {2018},
volume = {143},
number = {1},
doi = {10.21136/MB.2017.0055-16},
mrnumber = {3778050},
zbl = {06861592},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2017.0055-16/}
}
TY - JOUR AU - Chatzarakis, George E. AU - Dix, Julio G. TI - Oscillations of nonlinear difference equations with deviating arguments JO - Mathematica Bohemica PY - 2018 SP - 67 EP - 87 VL - 143 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2017.0055-16/ DO - 10.21136/MB.2017.0055-16 LA - en ID - 10_21136_MB_2017_0055_16 ER -
%0 Journal Article %A Chatzarakis, George E. %A Dix, Julio G. %T Oscillations of nonlinear difference equations with deviating arguments %J Mathematica Bohemica %D 2018 %P 67-87 %V 143 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2017.0055-16/ %R 10.21136/MB.2017.0055-16 %G en %F 10_21136_MB_2017_0055_16
Chatzarakis, George E.; Dix, Julio G. Oscillations of nonlinear difference equations with deviating arguments. Mathematica Bohemica, Tome 143 (2018) no. 1, pp. 67-87. doi: 10.21136/MB.2017.0055-16
[1] Berezansky, L., Braverman, E.: On existence of positive solutions for linear difference equations with several delays. Adv. Dyn. Syst. Appl. 1 (2006), 29-47. | MR | JFM
[2] Chatzarakis, G. E., Koplatadze, R., Stavroulakis, I. P.: Optimal oscillation criteria for first order difference equations with delay argument. Pac. J. Math. 235 (2008), 15-33. | DOI | MR | JFM
[3] Chatzarakis, G. E., Pinelas, S., Stavroulakis, I. P.: Oscillations of difference equations with several deviated arguments. Aequationes Math. 88 (2014), 105-123. | DOI | MR | JFM
[4] Chatzarakis, G. E., Stavroulakis, I. P.: Oscillations of first order linear delay difference equations. Aust. J. Math. Anal. Appl. (electronic only) 3 (2006), Article ID 14, 11 pages. | MR | JFM
[5] Dix, J. P., Dix, J. G.: Oscillations of solutions to nonlinear first-order delay differential equations. Involve 9 (2016), 465-482. | DOI | MR | JFM
[6] Erbe, L. H., Kong, Q., Zhang, B. G.: Oscillation Theory for Functional-Differential Equations. Pure and Applied Mathematics 190. Marcel Dekker, New York (1994). | MR | JFM
[7] Erbe, L. H., Zhang, B. G.: Oscillation of discrete analogues of delay equations. Differ. Integral Equ. 2 (1989), 300-309. | MR | JFM
[8] Ladas, G.: Explicit conditions for the oscillation of difference equations. J. Math. Anal. Appl. 153 (1990), 276-287. | DOI | MR | JFM
[9] Ladas, G., Philos, C. G., Sficas, Y. G.: Sharp conditions for the oscillation of delay difference equations. J. Appl. Math. Simulation 2 (1989), 101-111. | DOI | MR | JFM
[10] Ladde, G. S., Lakshmikantham, V., Zhang, B. G.: Oscillation Theory of Differential Equations with Deviating Arguments. Pure and Applied Mathematics 110. Marcel Dekker, New York (1987). | MR | JFM
[11] Li, B.: Oscillation of first order delay differential equations. Proc. Am. Math. Soc. 124 (1996), 3729-3737. | DOI | MR | JFM
[12] Li, X., Zhu, D.: Oscillation of advanced difference equations with variable coefficients. Ann. Differ. Equations 18 (2002), 254-263. | MR | JFM
[13] Luo, X. N., Zhou, Y., Li, C. F.: Oscillation of a nonlinear difference equation with several delays. Math. Bohem. 128 (2003), 309-317. | MR | JFM
[14] Tang, X. H., Yu, J. S.: Oscillation of delay difference equation. Comput. Math. Appl. 37 (1999), 11-20. | DOI | MR | JFM
[15] Tang, X. H., Zhang, R. Y.: New oscillation criteria for delay difference equations. Comput. Math. Appl. 42 (2001), 1319-1330. | DOI | MR | JFM
[16] Wang, X.: Oscillation of delay difference equations with several delays. J. Math. Anal. Appl. 286 (2003), 664-674. | DOI | MR | JFM
[17] Yan, W., Meng, Q., Yan, J.: Oscillation criteria for difference equation of variable delays. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 13A (2006), Part 2, suppl., 641-647. | MR
[18] Zhang, B. G., Zhou, Y.: Oscillations of difference equations with several delays. Comput. Math. Appl. 44 (2002), 817-821. | DOI | MR | JFM
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