Boundedness in Functional Dynamic Equations on Time Scales

Elvan Akin, Missouri University of Science and Technology
Youssef N. Raffoul

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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.