• POINTWISE ESTIMATES FOR POLYHARMONIC GREEN’S FUNCTION 

  Myrzabayeva, Galiya (School of Sciences and Humanities, 2023)

  This thesis focuses on the polyharmonic Green’s function, one of fundamental concepts in mathematical analysis and partial differential equations. The Green’s function plays a crucial role in solving problems related to ...
• INVERSE TIME-DEPENDENT SOURCE PROBLEMS IN EVOLUTION EQUATIONS 

  Kuangaliyeva, Dilyara (School of Sciences and Humanities, 2023)

  We solve inverse problems of determining continuous time-dependent source terms in evolution equations. As a particular case, one inverse initialboundary value problem with observation data at a spatial point is sufficient ...
• FINITE-TIME SYNCHRONIZATION FOR FUZZY SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS 

  Nuriyev, Zhangir (School of Sciences and Humanities, 2023)

  Obtaining synchronization in the activity of neural networks has been a major goal for scientists of various fields. Thus, several problems based on finite-time synchronization are to be explored in this paper. The primary ...
• APPLICATION OF 4-DIMENSIONAL COPULAS IN CALCULATING VALUE-AT-RISK FOR THE PORTFOLIO OF 4 SP500 COMPANIES 

  Bolatbekov, Kairzhan (School of Sciences and Humanities, 2023)

  Portfolio risk management is a process aimed at maintaining profit streams and reducing uncertainties in investment decisions. Value-at-Risk (VaR) is a widely used metric to quantify the potential loss of profits. Although ...
• FINITE TIME AND FIXED TIME SYNCHRONIZATION OF SHUNTING INHIBITORY MEMRISTIVE NEURAL NETWORKS VIA SLIDING MODE CONTROL 

  Otkel, Madina (School of Sciences and Humanities, 2023)

  This thesis investigates the finite time synchronization and fixed time synchronization of shunting inhibitory memristive neural networks with time-varying delays via sliding mode control. First, a new terminal sliding ...
• NONLINEAR REGRESSION ANALYSIS OF EXPONENTIAL, VON BERTALANFFY AND DYNAMIC CARRYING CAPACITY MODELS FOR CANADA POPULATION 

  Aiben, Ailiza (School of Sciences and Humanities, 2023)

  This project is aimed to analyze the exponential model, Von Bertalanffy model, and the dynamic carrying capacity model based on the Canada population data. The unknown parameters in these models would be found out by ...
• DETERMINATION OF TIME-DEPENDENT CONTROL PARAMETER ON THE HEISENBERG GROUP 

  Kamet, Madina (School of Sciences and Humanities, 2023)

  In this thesis, we examine inverse problems for the sub-elliptic heat equation with the Cauchy-Dirichlet initial-boundary value condition to determine the time-dependent control parameter. Consequently, on the Heisenberg ...
• ANALYSIS OF LANDAU–LIFSHITZ AND NEO-HOOKEAN MODELS FOR STATIC AND DYNAMIC ACOUSTOELASTIC TESTING 

  Melnikov, Andrey; Malcolm, Alison E; Poduska, Kristin M (Physica Scripta, 2022)

  A comparison of three different isotropic non-linear elastic models uncovers subtle but important differences in the acoustoelastic responses of a material slab that is subjected to dynamic deformations during a pump-probe ...
• ANALYSIS OF DEAD CORE FORMATION IN CATALYTIC REACTION AND DIFUSION PROCESSES WITH GENERALIZED DIFUSION FUX 

  Skrzypacz, Piotr; Kabduali, Bek; Kadyrbek, Alua; Szafert, Sławomir; Andreev, Vsevolod; Golman, Boris (Scientific Reports, 2022)

  Dead-core and non-dead-core solutions to the nonlinear diffusion–reaction equation based on the generalized diffusion flux with gradient-dependent diffusivity and the power-law reaction kinetics in catalyst slabs are ...
• SATURATED AND ASYMMETRIC SATURATED IMPULSIVE CONTROL SYNCHRONIZATION OF COUPLED DELAYED INERTIAL NEURAL NETWORKS WITH TIME-VARYING DELAYS 

  Udhayakumar, K.; Shanmugasundaram, S.; Kashkynbayev, Ardak; Janani, K.; Rakkiyappan, R. (Applied Mathematical Modelling, 2023)

  This paper considers control systems with impulses that are saturated and asymmetrically saturated which are used to examine the synchronization of inertial neural networks (INNs) with time-varying delay and coupling delays. ...
• THE INFLUENCING FACTORS OF CO2 EMISSIONS AND THE ADOPTION OF ECO-INNOVATION ACROSS G-7 ECONOMIES: A NOVEL HYBRID MATHEMATICAL AND STATISTICAL APPROACH 

  Rehman, Erum; Rehman, Shazia; Mumtaz, Ayesha; Jianglin, Zhang; Shahiman, Muhammad Ali (Frontiers in Environmental Science, 2022-09-29)

  The present study empirically analyzes the role of eco-innovation in plummeting carbon dioxide (CO2) emissions in conjunction with renewable energy usage, foreign direct investment, and trade openness for the states in ...
• MUTUAL INTERDEPENDENCE OF THE PHYSICAL PARAMETERS GOVERNING THE BOUNDARY-LAYER FLOW OF NON-NEWTONIAN FLUIDS 

  Al-Ashhab, Samer; Wei, Dongming; Alyami, Salem A.; Azad, AKM; Moni, Mohammad Ali (Applied Sciences, 2022-05-23)

  We consider non-Newtonian boundary-layer fluid flow, governed by a power-law OstwalddeWaele rheology. Boundary-layer flows of non-Newtonian fluids have far-reaching applications, and are very frequently encountered in ...
• DYNAMICS OF FRACTIONAL-ORDER EPIDEMIC MODELS WITH GENERAL NONLINEAR INCIDENCE RATE AND TIME-DELAY 

  Kashkynbayev, Ardak; Rihan, Fathalla A. (Mathematics, 2021-08-03)

  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. We deduce ...
• OSCILLATION CRITERIA FOR LINEAR DIFFERENCE EQUATIONS WITH SEVERAL VARIABLE DELAYS 

  Benekas, Vasileios; Garab, Abel; Kashkynbayev, Ardak; Stavroulakis, Ioannis P. (Opuscula Mathematica, 2021)

  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 oscillation ...
• ON THE CAUCHY PROBLEM FOR A NONLOCAL NONLINEAR SCHRÖDINGER EQUATION 

  Wang, Hongwei; Esfahani, Amin (Discrete and Continuous Dynamical Systems, 2022-12)

  This paper considers the one-dimensional Schrödinger equation with nonlocal nonlinearity that describes the interactions of nonlinear dispersive waves. We obtain some the local well-posedness and ill-posedness result ...
• ALMOST PERIODIC SOLUTIONS OF FUZZY SHUNTING INHIBITORY CNNS WITH DELAYS 

  Kashkynbayev, Ardak; Koptileuova, Moldir; Issakhanov, Alfarabi; Cao, Jinde (AIMS Mathematics, 2022)

  In the present paper, we prove the existence of unique almost periodic solutions to fuzzy shunting inhibitory cellular neural networks (FSICNN) with several delays. Further, by means of Halanay inequality we analyze the ...
• BENIGN OVERFITTING WITH RETRIEVAL AUGMENTED MODELS 

  Assylbekov, Zhenisbek; Tezekbayev, Maxat; Nikoulina, Vassilina; Gallé, Matthias (Nazarbayev University School of Sciences and Humanities, 2022)

  Despite the fact that modern deep neural networks have the ability to memorize (almost) the entire training set they generalize well to unseen data, contradicting traditional learning theory. This phenomenon --- dubbed ...
• ANALYSIS OF THE MATHEMATICAL MODEL DESCRIBING THYROID-PITUITARY HORMONAL TRANSPORTATION BY A SYSTEM OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS 

  Baidildayeva, Aisha (Nazarbayev University School of Sciences and Humanities, 2022-05)

  The main goal of this capstone project is to conduct the analysis of the mathematical model which describes the transportation of the thyroid pituitary axis of the hormones within the endocrine system. The model is constructed ...
• JOINT DISTRIBUTION OF PARTICLES’ POSITIONS IN TASEP 

  Kassymkhanov, Nariman (Nazarbayev University School of Sciences and Humanities, 2022)

  In this paper we consider Totally Asymmetric Simple Exclusion Process. We give some joint distribution of particles’ positions in TASEP by using the transition probabilities of N-particle systems.
• ON THE PERSISTENCE OF SPATIAL ANALYTICITY FOR THE BEAM EQUATION 

  Dufera, Tamirat T.; Mebrate, Sileshi; Tesfahun, Achenef (Journal of Mathematical Analysis and Applications, 2022)

  Persistence of spatial analyticity is studied for solution of the beam equation utt + (m + Δ2) u + |u| p−1u = 0 on Rn × R. In particular, for a class of analytic initial data with a uniform radius of analyticity σ0, we ...

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