Linear Differential Operators, Sturm-Liouville Operators, Riesz Bases, Numerical Approximations.
Main publications:
C. Nur and O. A. Veliev, “On the basis property of the root functions of some class of non-self-adjoint Sturm-Liouville operators”, 2014:57, Boundary Value Problems, 2014
C. Nur and O. A. Veliev, “On the basis property of the root functions of Sturm-Liouville operators with general regular boundary conditions”, Moscow Mathematical Journal, 15:3 (2015), 511–526
C. Nur, “On the estimations of the small eigenvalues of Sturm-Liouville operators with periodic and antiperiodic boundary conditions”, 2018:190, Boundary Value Problems, 2018
C. Nur and O.A. Veliev, “On the estimations of the small eigenvalues of non-self-adjoint Sturm-Liouville operators”, Doi: 10.26837/jaem.511477, 2019, Journal of Applied and Engineering Mathematics, 2019
C. Nur, “Computing Periodic and Antiperiodic Eigenvalues with a PT-Symmetric Optical Potential”, Math. Notes, 114:6 (2023), 1401–1417
2021
2.
C. Nur, “On the Estimates of Periodic Eigenvalues of Sturm–Liouville Operators with
Trigonometric Polynomial Potentials”, Math. Notes, 109:5 (2021), 794–807
Cemile Nur, O. A. Veliev, “On the basis property of the root functions of Sturm–Liouville operators with general regular boundary conditions”, Mosc. Math. J., 15:3 (2015), 511–526
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