In three-dimensional domain, an identification problem of the source function for Hilfer type partial
differential equation of the even order with a condition in an integral form and with a small positive
parameter in ...
The paper aims to study the model-theoretic properties of differentially closed fields of zero and positive
characteristics in framework of study of Jonsson theories. The main attention is paid to the amalgam and
joint ...
The classification of inverse problems of dynamics in the class of ordinary differential equations is given
in the Galiullin’s monograph. The problem studied in this paper belongs to the main inverse problem
of dynamics, ...
In this paper, in the space L2(R2), we study a third-order differential operator with continuous coefficients
in R(1;+1). Here, these coefficients can be unlimited functions at infinity. In addition under some
restrictions ...
In this paper, we obtain exact solutions of a new modification of the Schr¨odinger equation related to the
Bessel q-operator. The theorem is proved on the existence of this solution in the Sobolev-type space W2
q (R+q
)
in ...
The theory of fractional calculus developed rapidly as the applications of this branch are extensive nowadays.
There is no discipline of modern engineering and science that remains untouched by the techniques of
fractional ...
We consider a boundary value problem for the fractional diffusion equation in an angle domain with a
curvilinear boundary. Existence and uniqueness theorems for solutions are proved. It is shown that Holder
continuity ...
A boundary value problem for a fractionally loaded heat equation is considered in the first quadrant. The
loaded term has the form of the Riemann-Liouville’s fractional derivative with respect to the time variable,
and ...
In this paper, we study the interpolation properties of the net spaces Np;q(M), in the case when M is
a sufficiently general arbitrary system of measurable subsets from Rn: The integral Urysohn operator
is considered. ...
In this paper, we study formal characters of simple modules with singular highest weights over classical Lie
algebras of type B over an algebraically closed field of characteristic p h; where h is the Coxeter number.
Assume ...
The coronavirus disease 2019 (COVID-19) has been responsible for over three million reported cases
worldwide. The construction of an appropriate mathematical (epidemiological) model for this disease is
a challenging task. ...
This paper considers a difference problem for a mixed-type equation, to which a problem of integral geometry
for a family of curves satisfying certain regularity conditions is reduced. These problems are related to
numerous ...
The paper proposes a constructive method to solve a nonlinear boundary value problem for a Fredholm
integro-differential equation. Using D.S. Dzhumabaev parametrization method, the problem under
consideration is transformed ...
Ashyralyev, A.; Urun, M.; Parmaksizoglu, I.C.(KU Publ., 2022-03-30)
The importance of energy-saving and correct design is obvious for energy efficiency. Correct design means
that before construction considerable things, such as orientation or isolation decisions, need to be made.
This ...
This article is devoted to the solvability of degenerate nonlinear equations of pseudoparabolic type. Such
problems appear naturally in physical and biological models. The article aims to study the solvability in
the ...
This article is devoted to the solvability of degenerate nonlinear equations of pseudoparabolic type. Such
problems appear naturally in physical and biological models. The article aims to study the solvability in
the ...
This paper is devoted to explicit and numerical solutions to linear fractional q-difference equations and
the Cauchy type problem associated with the Riemann-Liouville fractional q-derivative in q-calculus. The
approaches ...
The wide prevalence and the systematic variational principles are used in mathematics and applications
due to a series of remarkable consequences among which the possibility to establish the existence of the
solutions ...
In this paper, by means of a change of variables, a nonlinear semi-periodic boundary value problem for
the Goursat equation is reduced to a linear gravity problem for hyperbolic equations. Reintroducing a
new function, ...
The oscillatory theory of fourth order differential equations has not yet been developed well enough. The
results are known only for the case when the coefficients of differential equations are power functions. This
fact ...