Boundedness in functional dynamic equations on time scales
Advances in Difference Equations volume 2006, Article number: 079689 (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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Akin-Bohner, E., Raffoul, Y.N. Boundedness in functional dynamic equations on time scales. Adv Differ Equ 2006, 079689 (2006). https://doi.org/10.1155/ADE/2006/79689
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Analysis
- Functional Equation