SPECTRAL ANALYSIS OF BOUNDARY VALUE PROBLEMS WITH RETARDED ARGUMENT

Kaynakça (27)

1. Norkin, S.B., Diğerential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972.
2. Norkin, S.B., On boundary problem of Sturm-Liouville type for second-order diğ erential equa- tion with retarded argument, Izv. Vys´s. U´cebn. Zaved. Matematika, no 6(7) (1958) 203-214 (Russian).
3. Kamenskii, G. A., On the asymptotic behaviour of solutions of linear diğ erential equations of the second order with retarded argument, Uch. Zap. Mosk. Gos. Univ., 165 (1954) 195-204 (Russian).
4. Bayramo¼glu, M., K. Köklü, O. Baykal, On the spectral properties of the regular Sturm- Liouville Problem with the lag argument for which its boundary conditions depends on the spectral parameter, Turk. J. Math., 26 (2002) 421-431.
5. ¸Sen, E. and A. Bayramov, Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem, Math. Method. Appl. Sci., 36 (2013) 1512-1519.
6. ¸Sen, E. and A. Bayramov, Calculation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument which contains a spectral parameter in the
7. boundary condition, Math. Comput. Model., 54 (11-12) (2011) 3090-3097.
8. Bayramov, A., On asymptotic of the eigenvalues and eigenfunctions for the problem of Sturm- Liouville with the lag argument and the spectral parameter in the boundary condition, Trans. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci., 18 (3-4) (1998) 6-11.
9. Bayramov, A., S. C. alıs.kan and S. Uslu, Computation of eigenvalues and eigenfunctions of a discontinuous boundary value problem with retarded argument, Appl. Math. Comput., 191 (2007) 592-600.
10. Yang, C., Trace and inverse problem of a discontinuous Sturm–Liouville operator with re- tarded argument, J. Math. Anal. Appl., 395 (1) (2012) 30-41.
11. Levitan,B. M., Expansion in characteristic functions of diğerential equations of the second order, GITTL, Moscow, 1950 (Russian).
12. Bairamov, E., E. Ugurlu, On the characteristic values of the real component of a dissipative boundary value transmission problem, Appl. Math. Comput., 218 (2012) 9657-9663.
13. Bairamov, E., E, Ugurlu, E, The determinants of dissipative Sturm-Liouville operators with transmission conditions, Math. Comput. Model., 53 (5/6) (2011) 805-813.
14. Mamedov, Kh. R., On Boundary Value Problem with Parameter in Boundary Conditions, Spectral Theory of Operator and Its Applications, 11 (1997) 117-121 (Russian).
15. Fulton, C. and S. Pruess, Eigenvalue and eigenfunction asymptotics for regular Sturm- Liouville problems, J. Math. Anal. Appl., 188 (1) (1994) 297–340.
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.
19. Kadakal, M., O. Sh. Mukhtarov, Discontinuous Sturm-Liouville problems containing eigen- parameter in the boundary conditions, 22 (5) (2006) 1519-1528.
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]