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

Author:

Zhou YongORCID,Ahmad BashirORCID,Alsaedi Ahmed

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.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference22 articles.

1. Multivariable Dynamic Calculus on Time Scales;Bohner,2017

2. Fractional Dynamic Calculus and Fractional Dynamic Equations on Time Scales;Georgiev,2018

3. Stability Theory for Dynamic Equations on Time Scales;Martynyuk,2016

4. Integral Equations on Time Scales;Georgiev,2016

5. Oscillation Theory of Dynamic Equations on Time Scales: Second and Third Orders;Saker,2010

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