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

Volume: 8 Number: 2 May 1, 2006
  • Alp Arslan Kıraç
EN TR

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

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

Keywords

References

  1. Birkhoff G.D. (1908): “Boundary Value and Expansion Problems of Ordinary Linear Differential Equations”, Trans. Amer. Math. Soc., 9, pp. 373-95.
  2. Eastham M.S.P. (1973): “The Spectral Theory of Periodic Differential Equations”, Scottish Acedemic Pres, Edinburg.
  3. Naimark M.A. (1967): “Linear Differential Operators”, Volume I, George G. Harap and Company Ltd., London.
  4. 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.
  5. 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.
  6. Veliev O.A. (1986): “Spectral Expansion Related to Non-Selfadjoint Diffrential Operator with Periodic Coefficients” (Russian, English), Diffrential Equations, 22 (12), pp. 1403- 1408.
  7. 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.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Alp Arslan Kıraç This is me

Publication Date

May 1, 2006

Submission Date

May 1, 2006

Acceptance Date

-

Published in Issue

Year 2006 Volume: 8 Number: 2

APA
Kıraç, A. A. (2006). TOPLANABİLEN KATSAYILI ADİ DİFERANSİYEL OPERATÖRLERİN ÖZDEĞERLERİ İÇİN KEYFİ MERTEBE ASİMPTOTİKLER. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen Ve Mühendislik Dergisi, 8(2), 111-119. https://izlik.org/JA75SN33RL
AMA
1.Kıraç AA. TOPLANABİLEN KATSAYILI ADİ DİFERANSİYEL OPERATÖRLERİN ÖZDEĞERLERİ İÇİN KEYFİ MERTEBE ASİMPTOTİKLER. DEUFMD. 2006;8(2):111-119. https://izlik.org/JA75SN33RL
Chicago
Kıraç, Alp Arslan. 2006. “TOPLANABİLEN KATSAYILI ADİ DİFERANSİYEL OPERATÖRLERİN ÖZDEĞERLERİ İÇİN KEYFİ MERTEBE ASİMPTOTİKLER”. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen Ve Mühendislik Dergisi 8 (2): 111-19. https://izlik.org/JA75SN33RL.
EndNote
Kıraç AA (May 1, 2006) TOPLANABİLEN KATSAYILI ADİ DİFERANSİYEL OPERATÖRLERİN ÖZDEĞERLERİ İÇİN KEYFİ MERTEBE ASİMPTOTİKLER. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi 8 2 111–119.
IEEE
[1]A. A. Kıraç, “TOPLANABİLEN KATSAYILI ADİ DİFERANSİYEL OPERATÖRLERİN ÖZDEĞERLERİ İÇİN KEYFİ MERTEBE ASİMPTOTİKLER”, DEUFMD, vol. 8, no. 2, pp. 111–119, May 2006, [Online]. Available: https://izlik.org/JA75SN33RL
ISNAD
Kıraç, Alp Arslan. “TOPLANABİLEN KATSAYILI ADİ DİFERANSİYEL OPERATÖRLERİN ÖZDEĞERLERİ İÇİN KEYFİ MERTEBE ASİMPTOTİKLER”. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen ve Mühendislik Dergisi 8/2 (May 1, 2006): 111-119. https://izlik.org/JA75SN33RL.
JAMA
1.Kıraç AA. TOPLANABİLEN KATSAYILI ADİ DİFERANSİYEL OPERATÖRLERİN ÖZDEĞERLERİ İÇİN KEYFİ MERTEBE ASİMPTOTİKLER. DEUFMD. 2006;8:111–119.
MLA
Kıraç, Alp Arslan. “TOPLANABİLEN KATSAYILI ADİ DİFERANSİYEL OPERATÖRLERİN ÖZDEĞERLERİ İÇİN KEYFİ MERTEBE ASİMPTOTİKLER”. Dokuz Eylül Üniversitesi Mühendislik Fakültesi Fen Ve Mühendislik Dergisi, vol. 8, no. 2, May 2006, pp. 111-9, https://izlik.org/JA75SN33RL.
Vancouver
1.Alp Arslan Kıraç. TOPLANABİLEN KATSAYILI ADİ DİFERANSİYEL OPERATÖRLERİN ÖZDEĞERLERİ İÇİN KEYFİ MERTEBE ASİMPTOTİKLER. DEUFMD [Internet]. 2006 May 1;8(2):111-9. Available from: https://izlik.org/JA75SN33RL

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