Oscillation of Fourth-Order Delay Dynamic Equations
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.
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
Mathematics and Statistics
Keywords and Phrases
Delay dynamic equation; Fourth-order; Oscillation; Swift-Hohenberg equation; Time scale
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2015