Displaying similar documents to “Inequalities among eigenvalues of second-order symmetric equations on time scales.”

Opial's type inequalities on time scales and some applications

S. H. Saker (2012)

Annales Polonici Mathematici

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We prove some new Opial type inequalities on time scales and employ them to prove several results related to the spacing between consecutive zeros of a solution or between a zero of a solution and a zero of its derivative for second order dynamic equations on time scales. We also apply these inequalities to obtain a lower bound for the smallest eigenvalue of a Sturm-Liouville eigenvalue problem on time scales. The results contain as special cases some results obtained for second order...