In general, due to the nature of the Lie group theory, symmetry analysis is applied to single equations rather
than boundary value problems. In this paper boundary value problems for the sine-Gordon equations under
the ...
In this paper difference schemes of the finite element method of a high order of accuracy for the nonstationary
equation of moisture transfer of Aller are constructed and investigated. The increased order
of accuracy is ...
Sinsoysal, B.; Rasulov, M.; Yener, O.(KU Publ., 2021-06-30)
This study aims to obtain the numerical solution of the Cauchy problem for 2D conservation law equation
with one arbitrary discontinuity having an initial profile. For this aim, a special auxiliary problem allowing
to ...
In this paper a mathematical model is developed to study the transmission dynamics of HIV infection
and the effect of horizontal and vertical transmission in Turkey is analyzed. Model is fitted with the use
of confirmed ...
In this paper a mathematical model is proposed, which incorporates quarantine and hospitalization to
assess the community impact of social distancing and face mask among the susceptible population. The
model parameters ...
A ternary semigroup is a nonempty set with a ternary operation which is associative. The purpose of the
present paper is to give a characterization of open sets of finite-dimensional Euclidean spaces by ternary
semigroups ...
The article discusses the existence and uniqueness of solutions for a system of nonlinear integro-differential
equations of the first order with two-point boundary conditions. The Green function is constructed, and
the ...
In the present article we investigate problems of tracking in the moving point control of thermal processes
described by Fredholm integro-differential equations in partial derivatives with the Fredholm integral
operator, ...
Recently a new direction of uniform topology called the uniform topology of uniformly continuous mappings
has begun to develop intensively. This direction is devoted, first of all, to the extension to uniformly ...
In this paper fourth order of accuracy difference scheme for approximate solution of a multi-point elliptic
overdetermined problem in a Hilbert space is proposed. The existence and uniqueness of the solution of the
difference ...
In this study the source identification problem for the one-dimensional Schr¨odinger equation with non-local
boundary conditions is considered. A second order of accuracy Crank-Nicolson difference scheme for the
numerical ...
In this paper the stability of the initial value problem for the third order partial delay differential equation
with involution is investigated. The first order of accuracy absolute stable difference scheme for the ...
Ashyralyev, A.; Ashyralyyeva, M.; Batyrova, O.(KU Publ., 2021-06-30)
In the present paper the initial value problem for the second order ordinary differential equation with
damping term and involution is investigated. We obtain equivalent initial value problem for the fourth order
ordinary ...
A time dependent source identification problem for parabolic equation with involution and Neumann condition
is studied. The well-posedness theorem on the differential equation of the source identification parabolic
problem ...
In this paper for a new class of model and non-model partial integro-differential equations with singularity
in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
Such ...
This article is devoted to study the boundary value problems of the first and second kind with respect
to the spatial variable for a mixed inhomogeneous differential equation of parabolic-hyperbolic type with
a fractional ...
This article is aimed at computing numerical solutions of new type of boundary value problems (BVPs) for
two-linked ordinary differential equations. The problem studied here differs from the classical BVPs such
that it ...
In this paper, we consider the model-theoretical properties of the essential base of the central types of
convex theory. Also shows the connection between the center and Jonsson theory in permissible enrichment
signatures. ...
In this paper, the model-theoretical properties of the algebra of central types of mutually model-consistent
fragments are considered. Also, the connections between the center and the Jonsson theory in the permissible
signature ...
The article deals with the existence of a generalized solution for the second order nonlinear differential
equation in an unbounded domain. Intermediate and lower coefficients of the equation depends on the
required ...