Geodesic
Oscillatory behavior of nonlinear advanced differential equations with a non-monotone argument
Ozkan Ocalan1 ; Nurten Kilic2 ; Umut Mutlu Ozkan3 ; Ozkan Ocalan ; Nurten Kilic ; Umut Mutlu Ozkan
1Department of Mathematics, Faculty of Science, Akdeniz University, Antalya, Turkey
2Department of Mathematics, Faculty of Science and Arts, Dumlupinar University, Kütahya, Turkey
3Department of Mathematics, Faculty of Science and Arts, Afyon Kocatepe University, Afyon, Turkey
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 2, pp. 239-246 
Ozkan Ocalan; Nurten Kilic; Umut Mutlu Ozkan; Ozkan Ocalan; Nurten Kilic; Umut Mutlu Ozkan. Oscillatory behavior of nonlinear advanced differential equations with a non-monotone argument. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 2, pp. 239-246. http://geodesic.mathdoc.fr/item/AMUC_2019_88_2_a4/
@article{AMUC_2019_88_2_a4,
     author = {Ozkan Ocalan and Nurten Kilic and Umut Mutlu Ozkan and Ozkan Ocalan and Nurten Kilic and Umut Mutlu Ozkan},
     title = { Oscillatory behavior of nonlinear advanced differential equations with a non-monotone argument},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {239--246},
     year = {2019},
     volume = {88},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_2_a4/}
}
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Voir la notice de l'article provenant de la source Comenius University

Consider the first-order nonlinear advanced differential equation x′(t)-p(t)f(x(τ(t)))=0, t≥t0, where p(t) is are nonnegative function on R and τ(t) is non-monotone or nondecreasing function such that τ(t)≥t for t≥t0. Under these assumptions we researched oscillatory behaviour of solutions of nonlinear advanced differential equations and we obtain new oscillation criteria, involving limsup and liminf. An example illustruting the result is also given.