Lyapunov inequalities for dynamic equations via new Opial type inequalities

Temel Bulgular & Veri:By employing these new inequalities we establish some new Lyapunov type inequalities for a second order dynamic equation with a damping term.

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Sonuç & Katkı:These new Lyapunov inequalities give lower bounds on the distance between zeros of a solution and/or its derivative.

🔬Tür:Araştırma Makalesi

📍Kapsam:Genişletilmiş Akademik Örneklem

⚙️Değişkenler:Disfocality · Opial's inequality · Lyapunov inequality

Abstract

In this paper, we prove some new dynamic inequalities of Opial type on time scales. By employing these new inequalities we establish some new Lyapunov type inequalities for a second order dynamic equation with a damping term. These new Lyapunov inequalities give lower bounds on the distance between zeros of a solution and/or its derivative.

Anahtar kelimeler

Disfocality Opial's inequality Lyapunov inequality dynamic equations time scales

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Bu Makaleye Atıf Yap

OSMAN, M. M., SAKER, S. H., OREGAN, D., AGARWAL, R. P. (2022). Lyapunov inequalities for dynamic equations via new Opial type inequalities. Hacettepe Journal of Mathematics and Statistics, Cilt: 47 - Sayı: 6, 1537–1551. https://ajindex.com/articles/529888

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Kaynakça (21)

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