Geodesic
Oscillatory behavior of \(n\)-th-order neutral dynamic equations with mixed nonlinearities on time scales
Electronic journal of differential equations, Tome 2016 (2016)
In this article, several new oscillation theorems for n-th-order neutral dynamic equations with mixed nonlinearities are established. Our work extends some known results in the literature on second-order, third-order, and higher-order linear and half-linear dynamic equations. Two examples are provided to illustrate the relevance of the new theorems.
Classification : 34N05, 34K40, 34K11
Keywords: neutral dynamic equation, oscillation, mixed nonlinearities, generalized Riccati technique 
@article{EJDE_2016__2016__a23,
     author = {Huang,  Xian-Yong},
     title = {Oscillatory behavior of \(n\)-th-order neutral dynamic equations with mixed nonlinearities on time scales},
     journal = {Electronic journal of differential equations},
     year = {2016},
     volume = {2016},
     zbl = {1329.34146},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a23/}
}
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%A Huang,  Xian-Yong
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%J Electronic journal of differential equations
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%F EJDE_2016__2016__a23
Huang,  Xian-Yong. Oscillatory behavior of \(n\)-th-order neutral dynamic equations with mixed nonlinearities on time scales. Electronic journal of differential equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a23/