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 ...
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 ...
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 ...
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 ...
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 ...
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.
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 ...
We perform a detailed study of the dynamics of a nonlinear, one-dimensional oscillator
driven by a periodic force under hysteretic damping, whose linear version was originally
proposed and analyzed by Bishop in [1]. We ...
KUTYM, BEGIM K.; YESSENBEKOVA, ULBOSSYN M.; TURZHAN, ONGAIGUL I.; KOSHANOVA, KULNASH A.; YEGEMBERDIYEV, ISKAKH D.(Media Watch, 2020)
The article examines the cultural and educational mission of modern media
related to the spiritual and cultural education of youth in Kazakhstan. Over the
past two decades, the socialization problems of Kazakh youth have ...
We find the formulas of the transition probabilities of the N-particle multi species asymmetric simple exclusion processes (ASEP), and show that the transition prob abilities are written as a determinant when the order of ...
Bountis, Anastasios(Nonlinear Phenomena in Complex Systems, 2019)
In this paper, I review a number of results that my co-workers and I have obtained in
the field of 1–Dimensional (1D) Hamiltonian lattices. This field has grown in recent years,
due to its importance in revealing many ...
We review neural network architectures which were motivated by Fourier series and integrals and
which are referred to as Fourier neural networks. These networks are empirically evaluated in
synthetic and real-world tasks. ...
BIYAR, MAGZHAN; DA SILVA, DANIEL OLIVEIRA(arxiv, 2019)
We prove the existence of global analytic solutions to
the nonlinear Schr¨odinger equation in one dimension for a certain
type of analytic initial data in L2
We investigate the local and global dynamics of two 1-Dimensional (1D) Hamiltonian lattices
whose inter-particle forces are derived from non-analytic potentials. In particular, we study the
dynamics of a model governed ...
Tokebayev, Zhanibek(Nazarbayev University School of Sciences and Humanities, 2022-04)
In this paper, we investigate the behaviour of the unique right-most species-1 particle in the
2-species ASEP. We start with the introduction, where we first introduce the model itself, which
was introduced by Frank ...
Bakirova, Altynay(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 ...
Zhuman, Gulnissa(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 ...
Tobakhanov, Nurdaulet(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. ...
Kabduali, Bek(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 ...
Tezekbayev, Maxat(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 ...