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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 1

Lyapunov-type inequalities for third order linear differential equations with two points boundary conditions

Mustafa Fahri AKTAS
Devrim ÇAKMAK
Pages
59–66
Publication Date
2022-10-18
DOI
—
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Mathematics Subject Classification (2010). 34C10, 34B05, 34L15

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, by using Green’s functions for second order differential equations, we estab- lish new Lyapunov-type inequalities for third order linear differential equations with two points boundary conditions.
📊
Key Findings & Data:By using such inequalities, we obtain sharp lower bounds for the eigenvalues of corresponding equations.
💡
Conclusion & Impact:Mathematics Subject Classification (2010). 34C10, 34B05, 34L15
🔬Design:Research Article
📍Scope:2010 Verileri
⚙️Variables:Domain Parameters

Abstract

In this paper, by using Green’s functions for second order differential equations, we estab- lish new Lyapunov-type inequalities for third order linear differential equations with two points boundary conditions. By using such inequalities, we obtain sharp lower bounds for the eigenvalues of corresponding equations. Mathematics Subject Classification (2010). 34C10, 34B05, 34L15

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Cite This Article

AKTAS, M. F., ÇAKMAK, D. (2022). Lyapunov-type inequalities for third order linear differential equations with two points boundary conditions. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 1, 59–66. https://ajindex.com/articles/529720

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