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.
E. Akin and Y. N. Raffoul, "Boundedness in Functional Dynamic Equations on Time Scales," Advances in Difference Equations, Hindawi, Jan 2006.
The definitive version is available at https://doi.org/10.1155/ADE/2006/79689
Mathematics and Statistics
Association for Women in Mathematics (U.S.)
University of Missouri Research Board
Keywords and Phrases
Lyapunov Functionals; Boundedness; Functional Dynamic Equations; Time Scales
Article - Journal
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