On Diamond-Alpha Dynamic Equations and Inequalities

<p>In view of the recently developed theory of calculus for dynamic equations on time scales (which unifies discrete and continuous systems), in this project we give some of the basics of the extension of the theory to the combined delta (forward) and nabla (backward) derivatives. In this set up the newly developed theory of diamond-alpha derivatives are analyzed through some equation and inequality properties. In particular Opial type Diamond-alpha dynamic Inequalities are discussed in this context and recently developed results and their improved versions are given in this work.</p>

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (open access)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2011

Author dc:creator

• Atasever, Nuriye

Contributors dc:contributor

• Goran Lesaja
• Yan Wu

• ETD
• Discrete
• Continuous
• Time scales
• Dynamic equations
• Delta derivatives
• Nabla derivatives
• Diamond-alpha derivatives
• Opial's inequlity
• Mathematics

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/667

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1667