Abstract
Bu çalışmada öncelikle konunun tarihsel gelişimi anlatılmıştır. Daha
sonra Sturm-Liouville fark sınır değer problemi ele alınmış ve bu probleme
uygun maksimal disipatif operatör oluşturulmuştur. Sturm-Liouville fark
sınır değer problemi ve disipatif operatörün özvektörler ve asosye vektörler
sistemi incelenmiştir.
Keywords
Kendine eş olmayan operatör disipatif operatör maksimal operatör Sturm–Liouville fark operatörü
References
- Allahverdiev, B.P., (2004). Dissipative Second-Order Difference Operators with General Conditions, Journal of Difference Equations and Applications, Vol. 10, No.1, 1-16.
- Allahverdiev, B.P., (2005). Extensions, Dilations and Functional Models of Infinite Jacobi Matrix, Czechoslovak Math. Journal, 55 (130), 593-609.
- Atkinson, F.V., (1964). Discrete and Continuous Boundary Problems, Acad. Pres Inc., NewYork.
- Eryılmaz, A. (2006), Fark Operatörlerinin Spektral Teorisi, Yayınlanmamış Doktora Tezi, Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü, Isparta
- Fulton, C.T., (1977). Two-Point Boundary Value Problems with Eigenvalues parameter Contained in the Boundary Conditions Proc. Royal Soc. Edinburg, 77A, 293-308.
- Naimark, M.A., (1968). Linear Differential Operators, 2nd ed., Nauka Moskow, 1969 English transl., of 1st ed. Vols. 1, 2, Ungar, New York.
- Shi, Y., and Chen, I., (1999). Spectral Theory of Second-Order Vector Difference Equations, Journal of Math. Anal. And Appl. 239, 195-212.
- Walter, J., (1973). Regular Eigenvalue Problems with Eigenvalue Parameter in the Boundary Condition, Math. Z. 133, 301-312.
- Welstead, S, T., (1982). Boundary Conditions at Infinity for Difference Equations of Limit – Circle Type, J.Math. Anal. Appl. 89, 442-461. ****
Abstract
References
- Allahverdiev, B.P., (2004). Dissipative Second-Order Difference Operators with General Conditions, Journal of Difference Equations and Applications, Vol. 10, No.1, 1-16.
- Allahverdiev, B.P., (2005). Extensions, Dilations and Functional Models of Infinite Jacobi Matrix, Czechoslovak Math. Journal, 55 (130), 593-609.
- Atkinson, F.V., (1964). Discrete and Continuous Boundary Problems, Acad. Pres Inc., NewYork.
- Eryılmaz, A. (2006), Fark Operatörlerinin Spektral Teorisi, Yayınlanmamış Doktora Tezi, Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü, Isparta
- Fulton, C.T., (1977). Two-Point Boundary Value Problems with Eigenvalues parameter Contained in the Boundary Conditions Proc. Royal Soc. Edinburg, 77A, 293-308.
- Naimark, M.A., (1968). Linear Differential Operators, 2nd ed., Nauka Moskow, 1969 English transl., of 1st ed. Vols. 1, 2, Ungar, New York.
- Shi, Y., and Chen, I., (1999). Spectral Theory of Second-Order Vector Difference Equations, Journal of Math. Anal. And Appl. 239, 195-212.
- Walter, J., (1973). Regular Eigenvalue Problems with Eigenvalue Parameter in the Boundary Condition, Math. Z. 133, 301-312.
- Welstead, S, T., (1982). Boundary Conditions at Infinity for Difference Equations of Limit – Circle Type, J.Math. Anal. Appl. 89, 442-461. ****
Details
| Primary Language | Turkish |
|---|---|
| Journal Section | Makaleler |
| Authors | |
| Publication Date | March 12, 2014 |
| Published in Issue | Year 2011 Volume: 4 Issue: 2 |