Opial's Inequality on Time Scales and an Application

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 basic Opial type dynamic Inequalities. We discuss the background developed for Opial Inequalities which have many important applications both in the continuous and discrete cases in many areas of applicable analysis. Finally, having the above developed tools at our disposal, we give an example that concerns upper bound estimates of Dynamic Initial Value Problems and illustrate the usage of the developed Dynamic Opial Inequality.

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

2007

Author dc:creator

• Gray, Tamara Vernee

Contributors dc:contributor

• Martha L. Abell
• Goran Lesaja

• ETD
• Discrete
• Continuous
• Time scales
• Dynamic equations
• Opial's inequality
• Upper bounds of solutions of initial value problems
• Opial inequalities
• Differential equations
• Difference equations

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/652

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1652