On The Eigenvalues Of The Ordınary Differential Operators When Its Coefficients Are Lebesgue Integrable Functions
Year 2008,
Volume: 8 Issue: 1, 17 - 27, 01.06.2008
Alp Arslan Kıraç
References
- Eastham M.S.P., “The Spectral Theory of Periodic Differential Equations”, Scottish Acedemic Pres, Edinburg ( 1973 ).
- Birkhoff G.D., “Boundary Value and Expansion Problems of Ordinary Linear Differential Equations”, Trans. Amer. Math. Soc., 9, Pages 373- 395 ( 1908 ).
- Tamarkin J.D., “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.
- Naimark M.A., “Linear Differential Operators”, Volume I, George G. Harap and Company, Ltd., London ( 1967 ).
- Veliev O.A., “The Spectrum and Spectral Singularities of Differential Operators with Complex-Valued Periodic Coefficients”, Differential Cprimenye Uravneniya, 19, pp. 1316-1324 ( 1983 ).
- Veliev O.A., “Spectral Expansion Related to Non-Selfadjoint Diffrential Operator with Periodic Coefficients” (Russian, English), Diffrential Equations, 22(12), pp. 1403-1408 ( 1986 ).
- Veliev O.A., Duman M.T., “The Spectral Expansion for a Nonself- Adjoint Hill Operator with a Locally Integrable Potential”, J. Math. Anal. Appl., 265, pp. 76-90 ( 2002 ).
KATSAYILARI LEBESGUE İNTEGRALLENEBİLİR FONKSİYONLAR OLAN ADİ DİFERANSİYEL OPERATÖRLERİN ÖZDEĞERLERİ ÜZERİNE
Year 2008,
Volume: 8 Issue: 1, 17 - 27, 01.06.2008
Alp Arslan Kıraç
References
- Eastham M.S.P., “The Spectral Theory of Periodic Differential Equations”, Scottish Acedemic Pres, Edinburg ( 1973 ).
- Birkhoff G.D., “Boundary Value and Expansion Problems of Ordinary Linear Differential Equations”, Trans. Amer. Math. Soc., 9, Pages 373- 395 ( 1908 ).
- Tamarkin J.D., “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.
- Naimark M.A., “Linear Differential Operators”, Volume I, George G. Harap and Company, Ltd., London ( 1967 ).
- Veliev O.A., “The Spectrum and Spectral Singularities of Differential Operators with Complex-Valued Periodic Coefficients”, Differential Cprimenye Uravneniya, 19, pp. 1316-1324 ( 1983 ).
- Veliev O.A., “Spectral Expansion Related to Non-Selfadjoint Diffrential Operator with Periodic Coefficients” (Russian, English), Diffrential Equations, 22(12), pp. 1403-1408 ( 1986 ).
- Veliev O.A., Duman M.T., “The Spectral Expansion for a Nonself- Adjoint Hill Operator with a Locally Integrable Potential”, J. Math. Anal. Appl., 265, pp. 76-90 ( 2002 ).
There are 7 citations in total.