| Abstract: |
| By using matrix measure approach, we obtain a new Lyapunov type inequality for linear $2n\times 2n$ Hamiltonian systems on arbitrary time scales. The results obtained not only unify the related continuous and discrete ones but also generalize and improve them. As an application, we present new diconjugacy criteria for linear Hamiltonian systems and find new lower bound estimates for eigenvalues of associated eigenvalue problems for such systems. |
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