This article discusses the problems of that part of Model Theory that studies the properties of countable
models of inductive theories with additional properties, or, in other words, Jonsson theories. The characteristic
features ...
In this article discusses the model-theoretical properties of fragments of theoretical sets and the rheostat
method. These two concepts: theoretical set and rheostat are new. The study of this topic in the framework
of ...
A class of inverse problems for restoring the right-hand side of the pseudo-parabolic equation with one
fractional Sturm–Liouville operator is considered. In this paper, we prove the existence and uniqueness
results of ...
We consider the problem of recognizing a group by its bottom layer. This problem is solved in the class
of layer-finite groups. A group is layer-finite if it has a finite number of elements of every order. This
concept ...
The article investigates the asymptotic behavior of the solution to reconstructing the boundary conditions
and the right-hand side for second-order differential equations with a small parameter at the highest
derivative, ...
It is known that the eigenvalues n(n = 1; 2; :::) numbered in decreasing order and taking the multiplicity
of the self-adjoint Sturm-Liouville operator with a completely continuous inverse operator L1 have the
following ...
Kausar, N.; Munir, M.; Gulzar, M.; Addis, G. M.(KU Publ., 2020-12-30)
In this article, we have presented some important charcterizations of the ordered non-associative semigroups
in relation to their ideals. We have initially characterized the ordered AG-groupoid through the properties
of ...
This paper is devoted to the study of internal boundary layer. Such motions are often associated with effect
of boundary layer, i.e. low flow viscosity affects only in a narrow parietal layer of a streamlined body, ...
A linear boundary value problem with a parameter for loaded differential equations with multi-point
condition is considered. The method of parameterization is used for solving the considered problem. We
offer an algorithm ...
In this paper, we consider the problem of determining the source h(t) (x) of electromagnetic waves from
GPR data. The task of electromagnetic sensing is to find the pulse characteristic of the medium r(t) and
consists ...
In this paper we consider the stabilization problem of the solution of a boundary value problem for the heat
equation with a loaded two-dimensional Laplace operator. The loaded terms represent the values of the
required ...
In the present work, the authors obtained operator identities and decomposition formulas for
second order Gauss hypergeometric series of four variables into products containing simpler hypergeometric
functions. A ...
In this paper we study the interpolation properties of Nikol’skii-Besov spaces with a dominant mixed
derivative and mixed metric with respect to anisotropic and complex interpolation methods. An interpolation
theorem is ...
We study boundedness properties of the classical (singular) Hilbert transform
(Hf)(t) = p:v:
1
Z
R
f(s)
t s
ds
acting on Marcinkiewicz spaces. The Hilbert transform is a linear operator which arises from the ...
In this article, we consider weighted spaces of numerical sequences Ap,q, which are defined as sets of sequences a = {ak }fc=1, for which the norm
/TO \ q
IHUp,, := ( 1 ak |q k P "M < “
is finite. In the case of ...
A semi-periodic initial boundary-value problem for a fourth-order system of partial differential equations
is considered. Using the method of functional parametrization, an additional parameter is carried out and
the ...
A space source of identification problem for parabolic equation with involution and Dirichlet condition is
studied. The well-posedness theorem on the differential equation of the source identification parabolic
problem ...
Ashyraliyev, M.; Ashyralyyeva, M.A.; Ashyralyev, A.(KSU Publ., 2020-09-30)
In the present paper, a source identification problem for hyperbolic-parabolic equation with involution and
Dirichlet condition is studied. The stability estimates for the solution of the source identification ...
The stable difference scheme for the approximate solution of the initial boundary value problem for the
telegraph equation with time delay in a Hilbert space is presented. The main theorem on stability of the
difference ...
We study the source identification problem for an elliptic differential equation in a Banach space. The exact
estimates for the solution of source identification problem in H¨older norms are obtained. In applications,
four ...