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Journals / Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi / 2006 / Cilt: 8 - Sayı: 2

ARBITRARY-ORDER ASYMPTOTICS FOR THE EIGENVALUES OF THE ORDINARY DIFFERENTIAL OPERATORS WITH SUMMABLE COEFFICIENTS

TOPLANABİLEN KATSAYILI ADİ DİFERANSİYEL OPERATÖRLERİN ÖZDEĞERLERİ İÇİN KEYFİ MERTEBE ASİMPTOTİKLER

Alp Arslan KIRAÇ
Pages
111–119
Publication Date
2006-05-01
DOI
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AI Summary & Key Takeaways

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

In this article, we obtain the asymptotic formulas of arbitrary order for the eigenvalues of the differential operator generated by ordinary differential equation with summable coefficients and t -periodic boundary conditions

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, we obtain the asymptotic formulas of arbitrary order for the eigenvalues of the differential operator generated by ordinary differential equation with summable coefficients and t -periodic boundary conditions
📊
Key Findings & Data:In this article, we obtain the asymptotic formulas of arbitrary order for the eigenvalues of the differential operator generated by ordinary differential equation with summable coefficients and t -periodic boundary conditions
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Conclusion & Impact:In this article, we obtain the asymptotic formulas of arbitrary order for the eigenvalues of the differential operator generated by ordinary differential equation with summable coefficients and t -periodic boundary conditions
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Self-adjoint olmayan diferansiyel operatörler · t -periyodik sınır koşulları · Asimptotik formüller

Abstract

In this article, we obtain the asymptotic formulas of arbitrary order for the eigenvalues of the differential operator generated by ordinary differential equation with summable coefficients and t -periodic boundary conditions

Özet

Bu makalede, toplanabilen katsayılara sahip adi diferansiyel denklem ve t -periyodik sınır koşulları tarafından üretilen diferansiyel operatörün özdeğerleri için keyfi mertebeden asimptotik formüller elde edild

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Cite This Article

KIRAÇ, A. A. (2006). ARBITRARY-ORDER ASYMPTOTICS FOR THE EIGENVALUES OF THE ORDINARY DIFFERENTIAL OPERATORS WITH SUMMABLE COEFFICIENTS. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi, Cilt: 8 - Sayı: 2, 111–119. https://ajindex.com/articles/659397

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References (4)

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  2. Eastham M.S.P. (1973): “The Spectral Theory of Periodic Differential Equations”, Scottish Acedemic Pres, Edinburg. Naimark M.A. (1967): “Linear Differential Operators”, Volume I, George G. Harap and Company Ltd., London. Tamarkin J.D. (1927): “Some General Problems of The Theory of Ordinary Linear Differential Equations and Expansion of an Arbitrary Function in Series of Fundamental Functions”, Math. Zeit., 27, pp. 1-54.
  3. Veliev O.A. (1983): “The Spectrum and Spectral Singularities of Differential Operators with Complex-Valued Periodic Coefficients”, Differential Cprime nye Uravneniya, 19, pp. 1316-1324.
  4. Veliev O.A. (1986): “Spectral Expansion Related to Non-Selfadjoint Diffrential Operator with Periodic Coefficients” (Russian, English), Diffrential Equations, 22 (12), pp. 1403- 1408. Veliev O.A., Duman M.T. (2002): “The Spectral Expansion for a Nonself-Adjoint Hill Operator with a Locally Integrable Potential”, J. Math. Anal. Appl., 265, pp. 76-90.