Fite-Hille-Wintner-Type Oscillation Criteria for Second-Order Half-Linear Dynamic Equations with Deviating Arguments
We study oscillatory behavior of solutions to a class of second-order half-linear dynamic equations with deviating arguments under the assumptions that allow applications to dynamic equations with delayed and advanced arguments. Several improved Fite-Hille-Wintner-type criteria are obtained that do not need some restrictive assumptions required in related results. Illustrative examples and conclusions are presented to show that these criteria are sharp for differential equations and provide sharper estimates for oscillation of corresponding q-difference equations.
M. Bohner et al., "Fite-Hille-Wintner-Type Oscillation Criteria for Second-Order Half-Linear Dynamic Equations with Deviating Arguments," Indagationes Mathematicae, vol. 29, no. 2, pp. 548 - 560, Elsevier, Apr 2018.
The definitive version is available at https://doi.org/10.1016/j.indag.2017.10.006
Mathematics and Statistics
Keywords and Phrases
Advanced argument; Delayed argument; Half-linear; Oscillation behavior; Second-order dynamic equation; Time scale
International Standard Serial Number (ISSN)
Article - Journal
© 2018 Royal Dutch Mathematical Society (KWG), All rights reserved.
01 Apr 2018