Open Access. Powered by Scholars. Published by Universities.®

Statistics and Probability Commons™

Open Access. Powered by Scholars. Published by Universities.®

Mathematics and Statistics Faculty Research & Creative Works

Series

2006

Lyapunov Functionals

Articles 1 - 1 of 1

Full-Text Articles in Statistics and Probability

Boundedness In Functional Dynamic Equations On Time Scales, Elvan Akin, Youssef N. Raffoul Jan 2006

Boundedness In Functional Dynamic Equations On Time Scales, Elvan Akin, Youssef N. Raffoul

Mathematics and Statistics Faculty Research & Creative Works

Using nonnegative definite Lyapunov functionals, we prove general theorems for the boundedness of all solutions of a functional dynamic equation on time scales. We apply our obtained results to linear and nonlinear Volterra integro-dynamic equations on time scales by displaying suitable Lyapunov functionals.

Go to article