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Browsing Mathematics by Subject "Type of access: Open Access"
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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 ...
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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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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 ...
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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 ...
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Assaubay, Al-Tarazi; Castro Castilla, Alejandro Javier
(Nazarbayev University School of Sciences and Humanities, 2020)
In this research, we study the Penrose instability analysis in the Hirota equation,
which is a higher-order version of Nonlinear Schrödinger equation. We apply the Wigner function to Hirota equation in order to obtain ...
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Bountis, Anastasios; Kaloudis, Konstantinos; Spitas, Christos
(arxiv, 2020)
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 ...
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Bazarkhanova, Aigerim
(Nazarbayev University School of Sciences and Humanities, 2021-05-13)
The Dirac equation plays a fundamental role in quantum physics and its
exact solutions are of utmost importance. In this study we solved Linear and Nonlin ear Dirac equation in (1+1) dimension and obtained analytical ...
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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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. ...
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Park, Seongyong; Lee, Jaeseok; Khan, Shujaat; Wahab, Abdul; Kim, Minseok
(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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Park, Seongyong; Lee, Jaeseok; Khan, Shujaat; Wahab, Abdul; Kim, Minseok
(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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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 ...
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Bountis, Anastasios; Kaloudis, Konstantinos; Oikonomou, Thomas; Manda, Bertin Many; Skokos, Charalampos
(arxiv, 2020)
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 ...
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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 ...