Structure of Non-Oscillatory Solutions for Second Order Dynamic Equations on Time Scales

Yong Zhou, Bashir Ahmad and Ahmed Alsaedi
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Yong Zhou: Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
Bashir Ahmad: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Ahmed Alsaedi: Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2019, vol. 7, issue 8, 1-12

Abstract: In this paper, we make a detailed analysis of the structure of non-oscillatory solutions for second order superlinear and sublinear dynamic equations on time scales. The sufficient and necessary conditions for existence of non-oscillatory solutions are presented.

Keywords: dynamic equations; time scales; classification; existence; necessary and sufficient conditions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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