Boundedness in functional dynamic equations on time scales
© E.Akin-Bohner and Y.N. Raffoul. 2006
Received: 1 February 2006
Accepted: 27 March 2006
Published: 28 September 2006
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.
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