CURRENT RESEARCH INTERESTS
Operator theory, Spectral analysis of differential and integral operators, Boundary-value-transmission problems, Nonlinear equations, s-numbers of compact operators, Weyl's theory, Conformable-Fractional calculus, Continuity of eigenvalues of the boundary-value-transmission problems on the data, Hamiltonian systems
PUBLICATIONS
1. E. Bairamov, E. Uğurlu, The determinants of dissipative Sturm-Liouville operators with transmission conditions, Math. Comput. Modelling, 53 (2011), 805-813.
2. E. Bairamov, E. Uğurlu, On the characteristic values of the real component of a dissipative boundary value transmission problem, Appl. Math. Comput., 218 (2012), 9657-9663.
3. E. Bairamov, E. Uğurlu, Krein's theorems for a dissipative boundary value transmission problem, Complex Anal. Oper. Theory, 7 (2013), 831-842.
4. E. Uğurlu, B. P. Allahverdiev, On selfadjoint dilation of the dissipative extension of a direct sum differential operator, Banach J. Math. Anal., 7 (2013), 194-207.
5. E. Uğurlu, E. Bairamov, Dissipative operators with impulsive conditions, J. Math. Chem., 51 (2013), 1670-1680.
6. B. P. Allahverdiev, E. Bairamov, E. Uğurlu, Eigenparameter dependent Sturm-Liouville problems in boundary conditions with transmission conditions, J. Math. Anal. Appl., 401 (2013), 388-396.
7. E. Uğurlu, E. Bairamov, On singular dissipative fourth-order differential operator in lim-4 case, ISRN Mathematical Analysis, Volume 2013, Article ID 549876, 5 pages.
8. E. Uğurlu, On the perturbation determinants of a singular dissipative boundary value problem with finite transmission conditions, J. Math. Anal. Appl., 409 (2014), 567-575.
9. E. Uğurlu, E. Bairamov, Spectral analysis of eigenparameter dependent boundary value transmission problems, J. Math. Anal. Appl., 413 (2014), 482-494.
10. E. Uğurlu, E. Bairamov, On the rate of the convergence of the characteristic values of an integral operator associated with a dissipative fourth order differential operator in lim-4 case with finite transmission conditions, J. Math. Chem., 52 (2014), 2627-2644.
11. Ş. Yardımcı, E. Uğurlu, Nonlinear fourth order boundary value problem, Boundary Value Problems, 2014 (2014), 189.
12. E. Uğurlu, E. Bairamov, Krein's theorem for the dissipative operators with finite impulsive effects, Numer. Func. Anal. Optim., 36 (2015), 256-270.
13. B. P. Allahverdiev, E. Uğurlu, On dilation, scattering and spectral theory for two-interval singular differential operators, Bull. Math. Soc. Sci. Math. Roumanie, 58 (106) (2015), 383-392.
14. E. Uğurlu, Investigation of the spectral properties of a fourth order differential operators with finite transmision conditions, Math. Methods Appl. Sci., 39 (2016), 1298-1310.
15. B. P. Allahverdiev, E. Uğurlu, Spectral analysis of the direct sum Hamiltonian operators, Quaestiones Math., 39 (2016), 733-750.
16. D. Baleanu, E. Ugurlu, Regular fractional dissipative boundary value problems, Advances in Difference Equations 2016 2016:175
17. E. Ugurlu, Dirac systems with regular and singular transmission effects, Turkish J. Math., 41 (2017), 193-210.
18. E. Uğurlu, Singular Dirac systems in the Sobolev space, Turkish J. Math., 41 (2017), 933-939.
19. E. Uğurlu, E. Bairamov, The spectral analysis of a nuclear resolvent operator associated with a second order dissipative differential operator, Comput. Methods Funct. Theory, 17 (2017), 237-253.
20. E. Uğurlu, K. Taş, Dissipative operator and its Cayley transform, Turkish J. Math, 41 (2017), 1404-1432.
21. E. Uğurlu, Singular multiparameter dynamic equations with distributional potentials on time scales, Quaestiones Math, 40 (2017), 1023-1040.
22. E. Uğurlu, D. Baleanu, K. Taş, Regular fractional differential equations in the Sobolev space, Fract. Calc. Appl. Anal., 20 (2017), 810-817.
23. F. Jarad, E. Uğurlu, T. Abdeljawad, D. Baleanu, On a new class of fractional operators, Adv. Difference Eq., 2017, 247.
24. E. Ugurlu, K. Tas, D. Baleanu, Singular left-definite Hamiltonian systems in the Sobolev space, J. Nonlinear Sci. Appl., 10 (2017), 4451-4458.
25. E. Uğurlu, D. Baleanu, On a completely non-unitary contraction and associated dissipative difference operator, J. Nonlinear Sci. Appl. 10 (2017), 5999-6019.
26. B. P. Alahverdiev, E. Uğurlu, Scattering and Spectral Problems of the Direct Sum Sturm-Liouville Operators, Appl. Comput. Math., 16 (2017), 240-256.
27. E. Uğurlu, K. Taş, A new method for dissipative dynamic operator with transmission conditions, Complex. Anal. Oper. Theory, 12 (2018), 1027-1055.
28. E. Uğurlu, D. Baleanu, K. Taş, On the solutions of a fractional boundary value problem, T. J. Math., 42 (2018), 1307-1311
29. E. Uğurlu, Singular Hamiltonian system with several spectral parameters, J. Math. Anal. Appl,.461 (2018), 1241--1259.
30. D. Baleanu, F. Jarad, E. Uğurlu, Singular conformable sequential differential equations with distributional potentials, Quaest. Math., 42 (2019), 277-287.
31. E. Uğurlu, D. Baleanu, K. Taş, On square integrable solutions of a fractional differential equation, Appl. Math. Comput., 337 (2018), 153-157.
32. E. Uğurlu, Regular third-order boundary value problems, Appl. Math. Comput., 343 (2019), 247--257.
33. E. Uğurlu, Extensions of a minimal third-order formally symmetric operator, Bull. Malays. Math. Sci. Soc. https://doi.org/10.1007/s40840-018-0696-8
34. E. Uğurlu, Investigation of the eigenvalues and root functions of the boundary value problem together with a transmission matrix, Quaes. Math. https://doi.org/10.2989/16073606.2019.1581299
35. E. Uğurlu, Singular Hamiltonian system with several spectral parameters II: odd-order case, J. Math. Anal. Appl., 476 (2019), 549-568.
36. E. Uğurlu, Third-order boundary value transmission problems, Turkish J. Math., DOI: 10.3906/mat-1812-36
