Article
Fite-Hille-Wintner-Type Oscillation Criteria for Second-Order Half-Linear Dynamic Equations with Deviating Arguments
Indagationes Mathematicae
Abstract
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.
Department(s)
Mathematics and Statistics
Comments
The authors express their sincere gratitude to the editors and anonymous referee for the careful reading of the original manuscript and useful comments that helped to improve the presentation of the results and accentuate important details. This research is supported by Research Deanship of University of Hail (Grant No. 150486 ), NNSF of P. R. China (Grant No. 61503171 ), CPSF (Grant No. 2015M582091 ), NSF of Shandong Province (Grant No. ZR2016JL021 ), DSRF of Linyi University (Grant No. LYDX2015BS001 ), and the AMEP of Linyi University, P. R. China .
Keywords and Phrases
- Advanced argument,
- Delayed argument,
- Half-linear,
- Oscillation behavior,
- Second-order dynamic equation,
- Time scale
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2018 Royal Dutch Mathematical Society (KWG), All rights reserved.
Publication Date
4-1-2018
Publication Date
01 Apr 2018
Disciplines
Citation Information
Martin Bohner, Taher S. Hassan and Tongxing Li. "Fite-Hille-Wintner-Type Oscillation Criteria for Second-Order Half-Linear Dynamic Equations with Deviating Arguments" Indagationes Mathematicae Vol. 29 Iss. 2 (2018) p. 548 - 560 ISSN: 0019-3577 Available at: http://works.bepress.com/martin-bohner/154/