Oscillation of Second-Order Nonlinear Neutral Dynamic Equations with Noncanonical Operators
The study of half-linear differential equations has become an important area of research due to the fact that such equations occur in a variety of real-world problems such as in the study of p-Laplace equations, non-Newtonian fluid theory, and the turbulent flow of a polytrophic gas in a porous medium. On the basis of these background details, we study oscillatory behavior of a class of second-order neutral functional dynamic equations on a time scale. New criteria improve and complement related results reported in the literature. Some examples are included to illustrate the results obtained. In particular, an example regarding the second-order neutral differential equation is also provided to show that these theorems improve those in the continuous case.
C. Zhang et al., "Oscillation of Second-Order Nonlinear Neutral Dynamic Equations with Noncanonical Operators," Bulletin of the Malaysian Mathematical Sciences Society, vol. 38, no. 2, pp. 761 - 778, Springer Verlag, Apr 2015.
The definitive version is available at https://doi.org/10.1007/s40840-014-0048-2
Mathematics and Statistics
Keywords and Phrases
Neutral dynamic equation; Oscillation; Second-order nonlinear equation; Time scale
International Standard Serial Number (ISSN)
Article - Journal
© 2015 Malaysian Mathematical Sciences Society and Universiti Sains Malaysia, All rights reserved.
01 Apr 2015