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Journals / Turkish Journal of Mathematics / 2008 / Cilt: 32 - Sayı: 3

Lyapunov-type Inequalities for Certain Nonlinear Systems on Time Scales

Mehmet ÜNAL
Devrim ÇAKMAK
Pages
255–275
Publication Date
2022-11-03
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Special cases of our results contain the classical Lyapunov inequality for both differential and difference equations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we prove Lyapunov-type inequalities for certain nonlinear systems on an arbitrary time scale T by using elementary time scale calculus.
📊
Key Findings & Data:These inequalities enable us to obtain a criterion of disconjugacy for such systems.
💡
Conclusion & Impact:Special cases of our results contain the classical Lyapunov inequality for both differential and difference equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Nonlinear systems · Hamiltonian systems · Lyapunov - type inequality

Abstract

In this study, we prove Lyapunov-type inequalities for certain nonlinear systems on an arbitrary time scale T by using elementary time scale calculus. These inequalities enable us to obtain a criterion of disconjugacy for such systems. Special cases of our results contain the classical Lyapunov inequality for both differential and difference equations.

Özet

In this study, we prove Lyapunov-type inequalities for certain nonlinear systems on an arbitrary time scale T by using elementary time scale calculus. These inequalities enable us to obtain a criterion of disconjugacy for such systems. Special cases of our results contain the classical Lyapunov inequality for both differential and difference equations.

🔖

Cite This Article

ÜNAL, M., ÇAKMAK, D. (2022). Lyapunov-type Inequalities for Certain Nonlinear Systems on Time Scales. Turkish Journal of Mathematics, Cilt: 32 - Sayı: 3, 255–275. https://ajindex.com/articles/609045

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