1 Muratbekov M.B., Muratbekov M.M. On the compactness of the resolvent of a Schrödinger type singular operator with a negative parameter // Chaos, Solitons and Fractals. – 2021. – Vol.151, 111248. https://doi.org/10.1016/j.chaos.2021.111248.
CiteScore – 13.2, SNIP – 2.289, IF= 5,3 (2023), Percentile – 99, Quartile – Q1,
2 Muratbekov M.B., Igissinov S. Estimates of Eigenvalues of a Semiperiodic Dirichlet Problem for a Class of Degenerate Elliptic Equations // Symmetry. – 2022. – Vol. 14,692. https://doi.org/10.3390/sym14040692.
CiteScore – 4.3, SNIP – 1.121, IF= 2,2 (2023), Percentile – 93, Quartile – Q1,
3 Muratbekov M.B., Abylayeva A., Muratbekov M.M. Estimates of singular numbers ( s -numbers) and eigenvalues of a mixed elliptic-hyperbolic type operator with parabolic degeneration. Mathematical Methods in the Applied Sciences. WILAY. – 2023. – Vol.46, Issue 6. – P.6368-6380.DOI: 10.22541/au.166279681.15139883/v1.
CiteScore – 3.9, SNIP – 1.148, SJR – 0.702, Percentile – 91, Quartile – Q1,
4 Muratbekov M.M., Muratbekov M.B., Altynbek S. Maximal regularity and two-sided estimates of the approximation numbers of the nonlinear Sturm-Liouville equation solutions with rapidly oscillating coefficients in L_2(R). Mathematical Methods in the Applied Sciences. WILAY. – 2023. – Vol.46, Issue 13. – P.13661-13670. DOI: 10.22541/au.166140188.85212632/v1.
CiteScore – 3.9, SNIP – 1.148, SJR – 0.702, Percentile – 91, Quartile – Q1,
5 Muratbekov M., Muratbekov M. and Igissinov S. Estimates for the Approximation and Eigenvalues of the Resolvent of a Class of Singular Operators of Parabolic Type. Mathematics 2023, 11, 4584. https://doi.org/10.3390/math11224584.
CiteScore – 3.5, SNIP – 1.008, IF= 2,3 (2023), Percentile – 88, Quartile – Q1,
6 Muratbekov M., Suleimbekova A. and Baizhumanov M. Estimates of Eigenvalues and Approximation Numbers for a Class of Degenerate Third-Order Partial Differential Operators. Axioms 2024, 13, 451. https://doi.org/10.3390/axioms13070451.
Web of Science, JCR - Q1 (Mathematics, Applied), IF= 1,9 (2023), Quartile – Q1, Цитирование -0.
7 Muratbekov M., Muratbekov M. Sturm–Liouville operator with a parameter and its usage to spectrum research of some differential operators // Complex Variables and Elliptic Equations. – 2019. – Vol.64, №9. – P.1457–1476. doi:10.1080/17476933.2018.1533002.
CiteScore – 2.0, SNIP – 1.163, IF= 0,6 (2023), Percentile – 50, Quartile – Q2, Цитирование -12.
8 Muratbekov M.B., Bayandiev Y. On the Resolvent Existence and the Separability of a Hyperbolic Operator with Fast Growing Coefficients in L^2(R_2) // Filomat. 35:3 (2021), 707–721. https://doi.org/10.2298/FIL2103707M.
CiteScore – 1.5, SNIP – 0.818, IF= 0,8 (2022), Percentile – 63, Quartile – Q2,
9 Muratbekov M.B., Muratbekov M.M., Suleimbekova A.O. Bounded invertibility and separability of a parabolic type singular operator in the space L_2(R^2 ) // Turkish Journal of Mathematics. – 2021. №45. – P. 2199 – 2210 doi:10.3906/mat-2101-72.
CiteScore – 1.5, SNIP – 0.996, IF= 0,8 (2023), Percentile – 51, Quartile – Q2,
10 Muratbekov M.B., Suleimbekova A.O. Existence, compactness, estimates of eigenvalues and s-numbers of a resolvent for a linear singular operator of the Korteweg-de Vries Type // Filomat. – 2022. – Vol.36, №11. – P.3691–3702. https://doi.org/10.2298/FIL2211691M
CiteScore – 1.2, SNIP – 0.982, IF= 0,8 (2022), Percentile – 58, Quartile – Q2,
11 M.B.Muratbekov, A.B.Shyrakbaev, A.O.Suleimbekova. Existence of solutions and estimates of the velocity of convergence of approximate solutions of nonclassical type nonlinear degenerate equation. AIP Conf. Proc. 1611, 105–111 (2014)
https://doi.org/10.1063/1.4893813
12.M.B.Muratbekov, B.M.Musilimov, A.O.Suleimbekova. On spectral properties of a class of differential equations with operator coefficients. AIP Conf. Proc.1611, 100–104 (2014)
https://doi.org/10.1063/1.4893812
13.М.Muratbekov, M.Muratbekov. (2025) Estimates of Approximation Numbers, Nuclearity of the Resolvent of a Third‐Order Singular Differential Operator, and the Completeness of Its Root Vectors. Mathematical Methods in the Applied Sciences 48(8):8903-8910
DOI:10.1002/mma.10763
14.M.Muratbekov, M.Muratbekov. Separability and Estimates for Eigenvalues and Singular Numbers of a Class of Hyperbolic-Type Differential Operators. Mathematical Methods in the Applied Sciences, (2025); 0:1–7, https://doi.org/10.1002/mma.10829
Muratbekov M.B., Suleimbekova A.O. On the existence of the resolvent and separability of a class of the Korteweg-de Vriese type linear singular operators // Bulletin of the Karaganda University. Mathematics Series, – 2021. – Vol.101, №1, – P. 87–97. DOI: 10.31489/2021M1/87-97.
Web of Science, КОКСНВО. y. –2022 . – №3 (107). – P 51-58.
DOI 10.31489/2022M3/51-58
CiteScore – 1.2, SNIP – 0.590, SJR – 1.2, Percentile – 46, Quartile – Q3.
Web of Science, КОКСНВО.
Muratbekov M.B., Bayandiyev Ye.N. Existence and smoothness of solutions of a singular differential equation of hyperbolic type // Bulletin of the Karaganda University. – 2022. – № 3(107). – P.98-104 DOI 10.31489/2022M3/98-104.
Web of Science, КОКСНВО.
M.B. Muratbekov, M.М. Muratbekov. Smoothness and approximative properties of solutions of the singular nonlinear Sturm-Liouville equation (Bulletin of Karaganda University, 4(101)/2020. DOI 10.31489/2020M4/113-124)
M.B. Muratbekov, S.Zh. Igisinov, B.M. Musilimov, R.R. Makulbekova. On the spectral properties of a class of high-order differential operators with operator coefficients (Bulletin of Karaganda University, 2(98)/2020. DOI 10.31489/2020M2/110-124 )
M.B. Muratbekov, M.М. Muratbekov. On the bounded invertibility of a Schr¨odinger operator with a negative parameter in the space L2(Rn) (Bulletin of Karaganda University, 1(93)/2019. DOI 10.31489/2019M1/36-47