Abstract

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.

Department(s)

Mathematics and Statistics

Sponsor(s)

Association for Women in Mathematics (U.S.)
University of Missouri Research Board

Keywords and Phrases

Lyapunov Functionals; Boundedness; Functional Dynamic Equations; Time Scales

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2006 Hindawi, All rights reserved.

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