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Necessary and sufficient conditions for oscillation of fourth order dynamic equations on time scales
Journal article   Open access  Peer reviewed

Necessary and sufficient conditions for oscillation of fourth order dynamic equations on time scales

Yong Zhou, Jia Wei He, Bashir Ahmad and Ahmed Alsaedi
Advances in difference equations, Vol.2019(1), pp.1-17
30/07/2019
DOI: https://doi.org/10.1186/s13662-019-2245-7

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we obtain necessary and sufficient conditions for oscillation of a fourth order dynamic equation on time scales with deviating arguments. We discuss the oscillation behavior of solutions for strongly superlinear and strongly sublinear cases of the dynamic equation at hand. Our results unify and improve some known results for dynamic equations on time scales.
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https://doi.org/10.1186/s13662-019-2245-7View
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