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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2017 / Volume: 66 Issue: 2

SPECTRAL ANALYSIS OF BOUNDARY VALUE PROBLEMS WITH RETARDED ARGUMENT

Erdoğan Şen
Azad Bayramov
Pages
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Publication Date
2017-08-01
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Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972]and suggesting own approaches we find asymptotic formulas for the eigenvalues and eigen functions of boundary value problems of Sturm-Liouville type for the second order differential equation with retarded argument

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Objective & Hypothesis:In this paper, by modifying some techniques of [S.B.
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Key Findings & Data:In this paper, by modifying some techniques of [S.B.
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Conclusion & Impact:Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972]and suggesting own approaches we find asymptotic formulas for the eigenvalues and eigen functions of boundary value problems of Sturm-Liouville type for the second order differential equation with retarded argument
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Differential equation with retarded argument · transmission conditions · asymptotics of eigenvalues and eigenfunctions

Abstract

In this paper, by modifying some techniques of [S.B. Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972]and suggesting own approaches we find asymptotic formulas for the eigenvalues and eigen functions of boundary value problems of Sturm-Liouville type for the second order differential equation with retarded argument

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Cite This Article

Şen, E., Bayramov, A. (2017). SPECTRAL ANALYSIS OF BOUNDARY VALUE PROBLEMS WITH RETARDED ARGUMENT. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 66 Issue: 2. https://doi.org/10.1501/Commua1_0000000810

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References (27)

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  16. Aydemir, K., O. Sh. Mukhtarov, Variational principles for spectral analysis of one Sturm- Liouville problem with transmission conditions, Advances in Diğerence Equations, 2016 (2016) 1-14.
  17. Mukhtarov, O. Sh., K. Aydemir, Eigenfunction expansion for Sturm-Liouville problems with transmission conditions at one interior point, Acta Mathematica Scientia, 35 (3) (2015) 639-649.
  18. Mukhtarov, O. Sh., M. Kadakal, F. S. Muhtarov, On discontinuous Sturm-Liouville problems with transmission conditions, J. Math. Kyoto Univ., 44 (4) (2004) 779-798.
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  20. Current address: Erdo¼gan ¸Sen: Department of Mathematics, Namık Kemal University, 59030, Tekirda¼g, Turkey
  21. E-mail address: [email protected]
  22. Current address: Azad Bayramov: Azerbaijan State Pedagogical University, 1000, Baku, Azer- baijan
  23. E-mail address: [email protected]
  24. Current address: Erdo¼gan ¸Sen: Department of Mathematics, Namık Kemal University, 59030, Tekirda¼g, Turkey
  25. E-mail address: [email protected]
  26. Current address: Azad Bayramov: Azerbaijan State Pedagogical University, 1000, Baku, Azer- baijan
  27. E-mail address: [email protected]