Summary
This chapter is devoted primarily to the construction of exotic Lyapunov functionals for the study of boundedness, stability and exponential stability. Necessary and sufficient conditions for scalar and vector Volterra integro-dynamic equations will be given via the use of Lyapunov functionals. It is pointed out that in the case of exponential stability, Lyapunov functionals are hard to extend to vector Volterra integro-dynamic equations or to Volterra integro-dynamic equations with infinite delay . Most of the contents of this chapter are new and never been published elsewhere.
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Adıvar, M., Raffoul, Y.N. (2020). Exotic Lyapunov Functionals for Boundedness and Stability. In: Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales. Springer, Cham. https://doi.org/10.1007/978-3-030-42117-5_5
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DOI: https://doi.org/10.1007/978-3-030-42117-5_5
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