Geodesic
Oscillation and nonoscillation for second-order nonlinear neutral functional dynamic equations on time scales
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this article, we investigate the oscillation and nonoscillation of second order nonlinear neutral dynamic equations with retarded and advanced arguments by means of the theory of upper and lower solutions for related dynamic equations along with some additional estimates on positive solutions. We also apply the Kranoselskii's fixed point theorem to obtain nonoscillation results. Some interesting examples are given to illustrate the versatility of our results.
Classification : 34N05, 34K40, 34K11
Keywords: nonlinear neutral dynamic equations, oscillation, nonoscillation, upper and lower solutions, kranoselskii's fixed point theorem 
@article{EJDE_2013__2013__a164,
     author = {Deng, Xun-Huan and Wang, Qi-Ru},
     title = {Oscillation and nonoscillation for second-order nonlinear neutral functional dynamic equations on time scales},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a164/}
}
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Deng, Xun-Huan; Wang, Qi-Ru. Oscillation and nonoscillation for second-order nonlinear neutral functional dynamic equations on time scales. Electronic Journal of Differential Equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a164/