Opial and Lyapunov inequalities on time scales and their applications to dynamic equations
Opial and Lyapunov inequalities on time scales and their applications to dynamic equations
We prove some weighted inequalities for delta derivatives acting on products and compositions of functions on time scales and apply them to obtain generalized dynamic Opial-type inequalities. We also employ these inequalities to establish some new dynamic Lyapunov-type inequalities, which are essential in studying disfocality, disconjugacy, lower bounds of eigenvalues, …