We employ Lyapunov functions to study boundedness and stability of dynamic equationson time scales. Most of our Lyapunov functions involve the term |x| and its ?-derivative.In particular, we prove general theorems regarding qualitative analysis of solutions of delaydynamical systems and then use Lyapunov functionals that partially include |x| to provide examples.
QUALITATIVE ANALYSIS OF DYNAMIC EQUATIONS ON TIME SCALES USING LYAPUNOV FUNCTIONS
ANTONIA VECCHIO
2022
Abstract
We employ Lyapunov functions to study boundedness and stability of dynamic equationson time scales. Most of our Lyapunov functions involve the term |x| and its ?-derivative.In particular, we prove general theorems regarding qualitative analysis of solutions of delaydynamical systems and then use Lyapunov functionals that partially include |x| to provide examples.File in questo prodotto:
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