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ON LIAPUNOV-TYPE INTEGRAL INEQUALITIES FOR EVEN ORDER DYNAMIC EQUATIONS ON TIME SCALESKeywords: Liapunov-type inequality , disconjugacy , number of zeros , even order dynamic equations Abstract: In this paper, Liapunov-type integral inequalities have been obtainedfor an even order dynamic equations on time scales. As an application,an estimate for the number of zeros of an oscillatory solution and a criterion for disconjugacy of an even order dynamic equation is obtainedin an interval.
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