The results will be proved by employing the time scales Hölder inequality, the time scales chain rule and some new dynamic Opial-type inequalities designed and proved for this purpose.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper, for a second order sublinear dynamic equation with a damping term we will study the lower bounds of the distance between zeros of a solution and/or its derivatives and then establish some new criteria for disconjugacy and disfocality.
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Temel Bulgular & Veri:Our results present a slight improvement to some results proved in the litrature.
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Sonuç & Katkı:The results will be proved by employing the time scales Hölder inequality, the time scales chain rule and some new dynamic Opial-type inequalities designed and proved for this purpose.
In this paper, for a second order sublinear dynamic equation with a damping term we will study the lower bounds of the distance between zeros of a solution and/or its derivatives and then establish some new criteria for disconjugacy and disfocality. Our results present a slight improvement to some results proved in the litrature. As a special case when T = R, for a second order linear differential equation, we get some results proved by Brown and Harris as a consequence of our results. The results will be proved by employing the time scales Hölder inequality, the time scales chain rule and some new dynamic Opial-type inequalities designed and proved for this purpose.
Saker, S. H., Mahmoud, R. R. (2022). Distribution of zeros of sublinear dynamic equations with a damping term on time scales. Hacettepe Journal of Mathematics and Statistics, Cilt: 45 - Sayı: 2, 455–471. https://ajindex.com/articles/530174
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