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Journals / Turkish Journal of Mathematics and Computer Science / 2019 / Cilt: 11 - Sayı: 2

The Principal Eigenvalue and The Principal Eigenfunction of A Boundary-Value-Transmission Problem

Kadriye AYDEMİR
HAYATİ OLĞAR
Oktay Sh. MUKHTAROV
Pages
97–100
DOI
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AI Summary & Key Takeaways

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

However, interesting and significant results can be obtained from

📌 3 Key Takeaways

🎯
Objective & Hypothesis:It is well-know that the Sturm-Liouville theory justifies the "separation of variables"n method for voluminous partial differential equation problems.
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Key Findings & Data:For Sturm-Liouville problems the Rayleigh quotient is the basis of an important approximation method that is used in physics, as well as in engineering.
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Conclusion & Impact:However, interesting and significant results can be obtained from
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Boundary-value problem · Rayleigh quotient

Abstract

It is well-know that the Sturm-Liouville theory justifies the "separation of variables"n method for voluminous partial differential equation problems. For Sturm-Liouville problems the Rayleigh quotient is the basis of an important approximation method that is used in physics, as well as in engineering. Although any eigenvalue can be related to its eigenfunction by the Rayleigh quotient, this quotient cannot be used to determine the exact value of the eigenvalue since eigenfunction is unknown. However, interesting and significant results can be obtained from

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Cite This Article

AYDEMİR, K., OLĞAR, H., MUKHTAROV, O. S. (2019). The Principal Eigenvalue and The Principal Eigenfunction of A Boundary-Value-Transmission Problem. Turkish Journal of Mathematics and Computer Science, Cilt: 11 - Sayı: 2, 97–100. https://ajindex.com/articles/374661

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References (2)

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