Oscillation of Fourth-Order Delay Dynamic Equations
Abstract
This paper is concerned with oscillatory behavior of a class of fourth-order delay dynamic equations on a time scale. In the general time scales case, four oscillation theorems are presented that can be used in cases where known results fail to apply. The results obtained can be applied to an equation which is referred to as Swift-Hohenberg delay equation on a time scale. These criteria improve a number of related contributions to the subject. Some illustrative examples are provided.
Recommended Citation
C. Zhang et al., "Oscillation of Fourth-Order Delay Dynamic Equations," Science China Mathematics, vol. 58, no. 1, pp. 143 - 160, Science China Press, Jan 2015.
The definitive version is available at https://doi.org/10.1007/s11425-014-4917-9
Department(s)
Mathematics and Statistics
Keywords and Phrases
Delay dynamic equation; Fourth-order; Oscillation; Swift-Hohenberg equation; Time scale
International Standard Serial Number (ISSN)
1674-7283; 1869-1862
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2014 Science China Press and Springer-Verlag Berlin Heidelberg, All rights reserved.
Publication Date
01 Jan 2015
Comments
This work was supported by National Key Basic Research Program of China (Grant No. 2013CB035604) and National Natural Science Foundation of China (Grant Nos. 61034007, 51277116 and 51107069). The authors express their sincere gratitude to the anonymous referees for the careful reading of the original manuscript and useful comments that helped to improve the presentation of the results and accentuate important details.