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

Yong Zhou; Jia Wei He; Bashir Ahmad; Ahmed Alsaedi

doi:10.1186/s13662-019-2245-7

Advances in Difference Equations (Jul 2019)

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

Yong Zhou,
Jia Wei He,
Bashir Ahmad,
Ahmed Alsaedi

Affiliations

Yong Zhou: Faculty of Mathematics and Computational Science, Xiangtan University
Jia Wei He: Faculty of Mathematics and Computational Science, Xiangtan University
Bashir Ahmad: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University
Ahmed Alsaedi: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University

DOI: https://doi.org/10.1186/s13662-019-2245-7
Journal volume & issue: Vol. 2019, no. 1
pp. 1 – 17

Abstract

Read online

Abstract 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.

Published in Advances in Difference Equations

ISSN: 1687-1839 (Print); 1687-1847 (Online)
Publisher: SpringerOpen
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: http://www.advancesindifferenceequations.com/

About the journal

Abstract

Keywords