首页|Applications of Opial inequalities on time scales on dynamic equations with damping terms

Applications of Opial inequalities on time scales on dynamic equations with damping terms

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In this paper, we will employ some dynamic inequalities of Opial's type on time scales to prove several results related to the spacing between consecutive zeros of a solution of a second order dynamic equation with a damping term. We also obtain several results related to the spacing between a zero of the solution and/or a zero of its derivative. As a special case, we will establish some new results for differential and difference equations with damping terms. For illustration, we will derive some well-known results obtained for differential equations without damping terms. The results yield conditions for disfocality and disconjugacy for dynamic equations with damping terms on time scales.

Opial's inequalityDisfocalityDisconjugacyOscillationDynamic equationsTime scales

S. H. Saker

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Department of Mathematics, Faculty of Science, Mansoura University

2013

Mathematical and computer modelling

Mathematical and computer modelling

ISTP
ISSN:0895-7177
年,卷(期):2013.58(11/12)
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