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Mathematics
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Articles [43]
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Capstone Projects [10]
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Recent Submissions
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(Nazarbayev University School of Sciences and Humanities, 2022-05)One of the important problem of the theory of polynomial identi tites in algebra is describe all varieties of algebras with given system of identities. Our aim is to classify all subvarieties of the variety of bicom ...
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(Nazarbayev University School of Sciences and Humanities, 2022-05)This thesis explores a model for aggressive brain cancer - glioblastoma multiforme, with modified gompertzian growth function. Density-dependent diffusion term, taxis, and growth functions are included in the model that ...
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(Nazarbayev University School of Sciences and Humanities, 2022-05)The higer order Nonlinear Schrödinger equation is one of the general examples of dispersive nonlinear partial differential equations. We study a priori bounds for higher-order nonlinear Schrödinger in the Sobolev space. ...
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(Nazarbayev University School of Sciences and Humanities, 2022-05)There is an ongoing debate in the NLP community whether modern language models contain linguistic knowledge, recovered through so-called probes. This work examines whether linguistic knowledge is a necessary condition ...
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(Nazarbayev University School of Sciences and Humanities, 2022-05)The main result of this thesis work is a proof of the higher-order Poincar´e inequalities for Baouendi-Grushin vector fields on non-smooth domains. The finding is successfully applied to the study of the higher-order ...
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SERSNET: SURFACE-ENHANCED RAMAN SPECTROSCOPY BASED BIOMOLECULE DETECTION USING DEEP NEURAL NETWORK (MDPI AG, 2021-11-30)Surface-Enhanced Raman Spectroscopy (SERS)-based biomolecule detection has been a challenge due to large variations in signal intensity, spectral profile, and nonlinearity. Recent advances in machine learning offer great ...
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(Alexandria Engineering Journal, 2021-10-27)Fractional differential equations with constant coefficients can be readily handled by a number of methods, but those with variable coefficients are much more challenging. Recently, a method has appeared in the literature ...
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SERSNET: SURFACE-ENHANCED RAMAN SPECTROSCOPY BASED BIOMOLECULE DETECTION USING DEEP NEURAL NETWORK (MDPI, 2021-11-30)Surface-Enhanced Raman Spectroscopy (SERS)-based biomolecule detection has been a challenge due to large variations in signal intensity, spectral profile, and nonlinearity. Recent advances in machine learning offer great ...
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(MDPI, 2021-11-30)Numerical flow simulations play an important role in polymer processing. One of the essential prerequisites for accurate and precise flow simulations is to obtain accurate materials functions. In the framework of the ...
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(MDPI AG, 2021-08-03)Abstract: In this paper, we study the dynamics of a fractional-order epidemic model with general nonlinear incidence rate functionals and time-delay. We investigate the local and global stability of the steady-states. ...
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(AGH University of Science and Technology Press, 2021)Abstract. We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type ...
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(MDPI, 2021-08-27)Assume that each species l has its own jump rate bl in the multi-species totally asymmetric simple exclusion process. We show that this model is integrable in the sense that the Bethe ansatz method is applicable to obtain ...
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(MDPI AG, 2021-03-29)Defining distinctive areas of the physical properties of rocks plays an important role in reservoir evaluation and hydrocarbon production as core data are challenging to obtain from all wells. In this work, we study the ...
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(MDPI AG, 2021-06-10)In the polymer sheet processing industry, the primary objective when designing a coat-hanger die is to achieve a uniform velocity distribution at the exit of the extrusion die outlet. This velocity distribution depends on ...
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(Journal of Mathematical Cryptology, 2021)We introduce a new approach to (deterministic) integer factorisation, which could be described in the cryptographically fashionable term of “factoring with hints”: we prove that, for any ϵ > 0, given the knowledge of the ...
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(Elsevier B.V., 2021-06-08)This paper analyzes the inverse of near Toeplitz pentadiagonal matrices, arising from a finite-difference approximation to the fourth-order nonlinear beam equation. Explicit non-recursive inverse matrix formulas and bounds ...
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(Birkhauser, 2021-06-05)We prove the global Lp-boundedness of Fourier integral operators that model the parametrices for hyperbolic partial differential equations, with amplitudes in classical Hörmander classes Sρ,δm(Rn) for parameters 0 ≤ ρ≤ 1 ...
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(Birkhauser, 2021-07-07)There are three basic boundary value problems for the inhomogeneous polyanalytic equation in planar domains, the well-posed iterated Schwarz problem, and further two over-determined iterated problems of Dirichlet and Neumann ...
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(Duke University Press, 2020-04-02)In this paper we present L2 and Lp versions of the geometric Hardy inequalities in half-spaces and convex domains on stratifed (Lie) groups. As a consequence, we obtain the geometric uncertainty principles. We give ...
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(Advances in Difference Equations, 2020)It is known that all solutions of the difference equation Δx(n)+p(n)x(n−k)=0,n≥0, where {p(n)}∞n=0 is a nonnegative sequence of reals and k is a natural number, oscillate if lim infn→∞∑n−1i=n−kp(i)>(kk+1)k+1. In the ...
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