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Dergiler / Turkish Journal of Mathematics and Computer Science / 2019 / Volume: 11 Issue: 2

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

Kadriye Aydemir0000-0002-8378-3949
Hayati Olğar0000-0003-4732-1605
Oktay Mukhtarov0000-0001-7480-6857
Sayfa
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Yayın Tarihi
2019-12-31
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

However, interesting and significant results can be obtained from

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:However, interesting and significant results can be obtained from
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Aydemir, K., Olğar, H., Mukhtarov, O. (2019). The Principal Eigenvalue and The Principal Eigenfunction of A Boundary-Value-Transmission Problem. Turkish Journal of Mathematics and Computer Science, Volume: 11 Issue: 2. https://ajindex.com/articles/1324860

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Kaynakça (10)

  1. Aydemir, K., Mukhtarov, O.Sh., Ol\v{g}ar, H., {\em Differential operator equations with interface conditions in modified direct sum spaces}, AIP Conference Proceeding, \textbf{1759}(2016), Doi: 10.1063/1.4959642.
  2. Courant, R., Hilbert, D., Methods of Mathematical Physics, vol. 1, Interscience, New York, 1953.
  3. Gesztesy, F., Kirsch, W., {\em One-dimensional Schrodinger operators with interactions singular on a discrete set}, J. Reine Angew. Math., \textbf{362}(1985), 27--50.
  4. Ismailov, Z., Ipek, P., {\em Selfadjoint singular differential operators of first order and their spectrum}, Electronic Journal of Differential Equations, (2016), 1--9
  5. Kandemir, M., Yakubov, Y., {\em Regular boundary value problems with a discontinuous coefficient, functional-multipoint conditions, and a linear spectral parameter}, Israel Journal of Mathematics, \textbf{180}(2010), 255--270.
  6. Likov, A.V., Mikhalilov, Y.A., Theory of Heat and Mass Transfer, Qosenergaizdat, (In Russian), 1963.
  7. Ol\v{g}ar, H., Mukhtarov, O.Sh., Aydemir, K., {\em Some properties of eigenvalues and generalized eigenvectors of one boundary value problem}, Filomat, \textbf{32(3)}(2018), 911--920.
  8. Pham Huy, H., Sanchez-Palencia, E., {\em Phenomenes des transmission a travers des couches minces de conductivite elevee} J. Math. Anal. Appl., \textbf{47}(1974), 284--309.
  9. Titeux, I., Yakubov, Ya., {\em Completeness of root functions for thermal conduction in a strip with piecewise continuous coefficients}, Math. Models Methods Appl. Sc., \textbf{7(7)}(1997), 1035--1050.
  10. Yakubov, S., Completeness of Root Functions of Regular Differential Operators, Pitman Monographs and Surveys in Pure and Applied Mathematics, 71. Longman Scientific and Technical, Harlow; Copublished in the United States with John Wiley and Sons, Inc., New York, 1994.