Oscillatory behavior of n-th-order neutral dynamic equations with mixed nonlinearities on time scales
Texas State University, Department of Mathematics
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.
Neutral dynamic equation, Oscillation, Mixed nonlinearities, Generalized Riccati technique
Huang, X. Y. (2016). Oscillatory behavior of n-th-order neutral dynamic equations with mixed nonlinearities on time scales. <i>Electronic Journal of Differential Equations, 2016</i>(16), pp. 1-18.