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Full-Text Articles in Mathematics
Boundedness In Functional Dynamic Equations On Time Scales, Elvan Akin, Youssef N. Raffoul
Boundedness In Functional Dynamic Equations On Time Scales, Elvan Akin, Youssef N. Raffoul
Mathematics and Statistics Faculty Research & Creative Works
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.