Lyapunov inequalities for dynamic equations via new Opial type inequalities

Key Findings & Data: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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Conclusion & Impact:These new Lyapunov inequalities give lower bounds on the distance between zeros of a solution and/or its derivative.

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables: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.

Keywords

Disfocality Opial's inequality Lyapunov inequality dynamic equations time scales

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Cite This Article

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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