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  • Merembayev, Timur; Kurmangaliyev, Darkhan; Bekbauov, Bakhbergen; Amanbek, Yerlan (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 ...
  • Razeghiyadaki, Amin; Wei, Dongming; Perveen, Asma; Zhang, Dichuan (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 ...
  • Sica, Francesco (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 ...
  • Kurmanbek, Bakytzhan; Erlangga, Yogi; Amanbek, Yerlan (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 ...
  • Castro, Alejandro J.; Israelsson, Anders; Staubach, Wolfgang (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 ...
  • Begehr, Heinrich; Shupeyeva, Bibinur (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 ...
  • Ruzhansky, Michael; Sabitbek, Bolys; Suragan, Durvudkhan (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 ...
  • Benekas, Vasileios; Kashkynbayev, Ardak; Stavroulakis, Ioannis P. (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 ...
  • Razeghiyadaki, Amin; Zhang, Dichuan; Wei, Dongming; Perveen, Asma (Processes, 2020-08)
    A coupled surface response optimization method with a three-dimensional finite volume method is adopted in this study to identify five independent geometric variables of the die interior that provides a design with the ...
  • Amangeldi, Medeu; Wei, Dongming; Perveen, Asma; Zhang, Dichuan (Processes, 2020-10)
    Flow distribution channels in extrusion dies are typically designed to assure uniform fluid velocity, pressure and temperature in the outlets. To ensure this uniformity, it is desirable to have the fluid melt to reach a ...
  • Kashkynbayev, Ardak; Koptleuova, Daiana (AIMS Press, 2020-06-05)
    A tick-borne disease model is considered with nonlinear incidence rate and piecewise constant delay of generalized type. It is known that the tick-borne diseases have their peak during certain periods due to the life cycle ...
  • Kashkynbayev, Ardak; Amanbek, Yerlan; Shupeyeva, Bibinur; Kuang, Yang (AIMS Press, 2020-10-23)
    Mathematical modeling for cancerous disease has attracted increasing attention from the researchers around the world. Being an effective tool, it helps to describe the processes that happen to the tumour as the diverse ...
  • Amanbek, Yerlan; Du, Zhibin; Erlangga, Yogi; da Fonseca, Carlos M.; Kurmanbek, Bakytzhan; Pereira, António (De Gruyter Open, 2020)
    In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.
  • Ruzhansky, Michael; Sabitbek, Bolys; Suragan, Durvudkhan (SpringerOpen, 2020-07-04)
    In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group ...
  • Sica, Francesco (De Gruyter, 2020-11-17)
    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 ...
  • Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa (Springer, 2020-06-10)
    In this paper we describe the Euler semigroup {e−tE∗E}t>0 on homogeneous Lie groups, which allows us to obtain various types of the Hardy–Sobolev and Gagliardo–Nirenberg type inequalities for the Euler operator E. Moreover, ...
  • Arcet, Barbara; Dukarić, Maša; Kadyrsizova, Zhibek (MDPI, 2020-06-08)
    We consider a two-dimensional system which is a mathematical model for a temporal evolution of a well-stirred isothermal reaction system. We give sufficient conditions for the existence of purely imaginary eigenvalues of ...
  • Amanbek, Yerlan; Balgayev, Ilyas; Batyrkhanov, Kanat; Tan, Margaret (MDPI, 2020-07-09)
    Information and Communication Technology has been gaining importance in the economy of Kazakhstan, the largest landlocked country. In this paper, we investigate the factors that influence Kazakhstan’s e-Government portal ...
  • Sabit, F.; Shakipov, Mansur; Skrzypacz, Piotr; Golman, Boris (The Institute of Combustion Problems, 2019-02-20)
    The catalytic chemical reaction is usually carried out in a pellet where the catalyst is distributed throughout its porous structure. The selectivity, yield and productivity of the catalytic reactor often depend on the ...
  • Ruzhansky, Michael; Sabitbek, Bolys; Suragan, Durvudkhan (Springer, 2018-06-29)
    In this paper, generalised weighted Lp-Hardy, Lp-Caffarelli–Kohn–Nirenberg, and Lp-Rellich inequalities with boundary terms are obtained on stratified Lie groups. As consequences, most of the Hardy type inequalities and ...

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