- Ruzhansky M., Tokmagambetov N., Torebek B., Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations. Journal of Inverse and Ill-Posed Problems, 27 (2019), 891-911. link, arxiv
- Ruzhansky M., Hasanov A., Euler-type integral representations for hypergeometric functions of three second-order variables. Bulletin of the Institute of Mathematics, 6 (2019), 73-223. link
- Altybay A., Ruzhansky M., Tokmagambetov N., Wave equation with distributional propagation speed and mass term: numerical simulations. Appl. Math. E-Notes, 19 (2019), 552-562. link
- Laptev A., Ruzhansky M., Yessirkegenov N., Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I. Math. Scand., 125 (2019), 239-269. link,arxiv
- Ruzhansky M., Yessirkegenov N., Limiting cases of Sobolev inequalities on stratified groups. Proc. Japan. Acad. Ser. A. Math. Sci., 95 (2019), 83-87. link
- Akylzhanov R., Nursultanov E., Ruzhansky M., Hardy-Littlewood, Hausdorff-Young-Paley inequalities, and Lp-Lq Fourier multipliers on compact homogeneous manifolds, J. Math. Anal. Appl., 479 (2019), 1519-1548. arxiv, link
- Munoz J. C., Ruzhansky M., Tokmagambetov N., Acoustic and shallow water wave propagations with irregular dissipation, Funct. Anal. Appl., 53 (2019), 153-156. link
- Ruzhansky M., Suragan D., Critical Hardy inequalities, Ann. Acad. Sci. Fenn. Math., 44 (2019), 1159-1174. link, arxiv
- Mantoiu M., Ruzhansky M., Quantizations on nilpotent Lie groups and algebras having flat coadjoint orbits. J. Geom. Anal., 29 (2019), 2823-2861. arxiv, link
- Huang J., Ruzhansky M., Feng H., Zheng L., Huang X., Wang H., Feature extraction for license plate location based on L0-norm smoothing. Open Comput. Sci. 2019; 9:28-135. link (open access)
- Kassymov A., Ruzhansky M., Suragan D., Hardy-Littlewood-Sobolev and Stein-Weiss inequalities on homogeneous Lie groups. Integral Transforms and Special Functions, 30 (2019), 643-655. link, arxiv
- Daher R., Delgado J., Ruzhansky M., Titchmarsh theorems for Fourier transforms of Holder-Lipschitz functions on compact homogeneous manifolds, Monatsh. Math., 189 (2019), 23-49. arxiv, link (open access)
- Ruzhansky M., Tokmagambetov N., On nonlinear damped wave equations for positive operators. I. Discrete spectrum. Differential Integral Equations, 32 (2019), 455-478. link, arxiv
- Matsuyama T., Ruzhansky M., On the Gevrey well-posedness of the Kirchhoff equation. J. Anal. Math., 137 (2019), 449-468. link, arxiv
- Delgado J., Ruzhansky M., Lp-bounds for pseudo-differential operators on compact Lie groups. J. Inst. Math. Jussieu, 18 (2019), 531–559. offprint (open access), arxiv, link
- Ruzhansky M., Sabitbek B., Suragan D., Weighted anisotropic Hardy and Rellich type inequalities for general vector fields, NoDEA Nonlinear Differential Equations Appl., 26 (2019), no. 2, 26:13. link, arxiv
- Kalmenov T. Sh., Ruzhansky M., Suragan D., On spectral and boundary properties of the volume potential for the Helmholtz equation. Math. Model. Nat. Phenom., 14 (2019), no. 5, Art. 502, 11 pp. link
- Ozawa T., Ruzhansky M., Suragan D., Lp-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, Quart. J. Math., 70 (2019), 305-318. arxiv, link, offprint (open access),
- Ruzhansky M., Verma D., Hardy inequalities on metric measure spaces, Proc. R. Soc. A, 475 (2019), 20180310, 15pp. offprint, arxiv, link
- Ruzhansky M., Tokmagambetov N., Wave equation for 2D Landau Hamiltonian, Appl. Comput. Math., 18 (2019), 69-78. arxiv
- Munoz J. C., Ruzhansky M., Tokmagambetov N., Wave propagation with irregular dissipation and applications to acoustic problems and shallow waters. J. Math. Pures Appl., 123 (2019), 127-147. offprint (open access), arxiv, link
- Ruzhansky M., Sugimoto M., A local-to-global boundedness argument and Fourier integral operators, J. Math. Anal. Appl., 473 (2019), 892-904. arxiv, link
- Ruzhansky M., Sugimoto M., Global regularity properties for a class of Fourier integral operators, arxiv. The method has been substantially revised and extended to a much more general setting: arxiv, link
- Ruzhansky M., Yessirkegenov N., New Progress on Weighted Trudinger–Moser and Gagliardo–Nirenberg, and Critical Hardy Inequalities on Stratified Groups. In: Boggiatto P. et al. (eds) Landscapes of Time-Frequency Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser. 2019. link
- Ruzhansky M., Sabitbek B., Suragan D., Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups, Rev. Mat. Complutense, 32 (2019), 19-35. enhanced pdf (open access), arxiv, link
- Ruzhansky M., Yessirkegenov N., Rellich inequalities for sub-Laplacians with drift, Proc. Amer. Math. Soc., 147 (2019), 1335-1349. arxiv, link
- Cardona D., Pseudo-differential operators in Hölder spaces revisited: Weyl-Hörmander calculus and Ruzhansky-Turunen classes. Mediterr. J. Math., 16 (2019), no. 6, paper no. 148, 17 pp. doi, arxiv
- Cardona D., Lp-estimates for a Schrödinger equation associated with the harmonic oscillator.Electron. J. Differential Equations, 2019 (2019), paper no. 20, 1-10. link (open access), arxiv
- Cardona D., On the nuclear trace of Fourier Integral Operators. Rev. Integr. temas Mat.,37 (2019), issue 2, 219-249. doi, arxiv
- Cardona D., On the index of pseudo-differential operators on compact Lie groups. J. Pseudo-Differ. Oper. Appl., 10 (2019), issue 1, 285-305. doi, arxiv
- Cardona D., Pseudo-differential operators on Zn with applications to discrete fractional integral operators.Bull. Iran. Math. Soc., 45 (2019), issue 4, 1227–1241. doi, arxiv
- Barraza E. Samuel., Cardona D., On nuclear Lp multipliers associated to the harmonic oscillator. Springer Proceedings in Mathematics & Statistics, Springer, Imperial College London, UK, 275 (2019), 31-39. doi, arxiv
- Serikbaev D.,Tokmagambetov N., An inverse problem for the pseudo-parabolic equation for a Sturm-Liouville operator. News of the National Academy of sciences of the Republic of Kazakhstan physico-mathematical series, 4 (2019), issue 326, 122-128. doi
- Darogomir S. S., Torebek B., Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113 (2019), issue 4, 3413–3423. doi
- Torebek B., Global Unsolvability of the Burgers Equation with Fractional Time Derivative. Differential Equations, 55 (2019), issue 6, 867–870. doi
- Kirane M., Torebek B., Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations. Fractional Calculus and Applied Analysis, 22 (2019), issue 2, 358–378. doi
- Ahmad B., Alsaedi A., Kirane M., Torebek B., Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals. Journal of Computational and Applied Mathematics, 353 (2019), 120-129. doi
- Tokmagambetov N., Torebek B., Fractional Sturm-Liouville Equations: self-adjoint extensions. Complex Analysis and Operator Theory, 13 (2019), issue 5, 2259-2267. doi
- Kalmenov T. Sh., Sadybekov M. A., Torebek B., A criterion of solvability of the elliptic Cauchy problem in a multi-dimensional cylindrical domain. Complex Variables and Elliptic Equations, 64(2019), issue 3, 398–408. doi
- Al-Salti N., Kirane M., Torebek B., On a class of inverse problems for a heat equation with involution perturbation. Hacettepe Journal of Mathematics and Statistics, 48 (2019), issue 3, 669–681. doi
- Kalmenov T. Sh., Torebek B., A method for solving ill-posed nonlocal problem for the elliptic equation with data on the whole boundary. Journal of Pseudo-Differential Operators and Applications, 10:1 (2019), issue 1, 177–185. doi
- Bekbolat B., Kassymov A., Tokmagambetov N., Blow-up of solutions of nonlinear heat equation with hypoelliptic operators on Graded Lie group. Complex Analysis and Operator Theory, 2019, 13, issue 7, 3347–3357. doi
- Oparnica Lj., Zorica D., Okuka A., Fractional Burgers wave equation. Acta Mechanica, 230 (2019), issue 12, 4321-4340. doi, arxiv
- Atanackovic T. M., Oparnica Lj., Zorica D., Bifurcation analysis of the rotating axially compressed nano-rod with imperfections. ZAMM, Z. Angew. Math. Mech. doi, arxiv
- Konjik S., Oparnica Lj., Zorica D., Distributed-order fractional constitutive stress-strain relation in wave propagation modeling. Zeitschrift für angewandte Mathematik und Physik, 70 (2019), issue 2, paper no. 51. doi, arxiv
- Sadybekov M.А., Dukenbayeva A.A., Direct and inverse problems for the Poisson equation with equality of flows on a part of the boundary, Complex Variables and Elliptic Equations, 64 (2019), issue 5, 777-791. doi
- Amirgaliyev Y., Shamiluulu S., Merembayev T., Yedilkhan D., Using Machine Learning Algorithm for Diagnosis of Stomach Disorders. International Conference on Mathematical Optimization Theory and Operations Research, (2019), 343-355. doi
- Merembayev T., Yunussov R., Yedilkhan A., Machine learning algorithms for stratigraphy classification on uranium deposits. Procedia Computer Science, 150 (2019), 46-52. doi