Article
Boundedness in Functional Dynamic Equations on Time Scales
Advances in Difference Equations
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.
Publication Date
1-1-2006
Disciplines
Citation Information
Elvan Akin and Youssef N. Raffoul. "Boundedness in Functional Dynamic Equations on Time Scales" Advances in Difference Equations (2006) Available at: http://works.bepress.com/youssef_raffoul/2/
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