A solvability of a problem for a Fredholm integro-differential equation with weakly singular kernel

AT Assanova, SN Nurmukanbet - Lobachevskii Journal of Mathematics, 2022 - Springer
Two-point boundary value problem for Fredholm integro-differential equation with singular
kernel is considered. We propose a method for the investigation and solving of problem for …

To a unique solvability of a problem with integral condition for integro-differential equation

AD Abildayeva, RM Kaparova, AT Assanova - Lobachevskii Journal of …, 2021 - Springer
Problem with integral condition for Fredholm integro-differential equation is considered.
Conditions for a unique solvability of problem with integral condition for Fredholm integro …

On the unique solvability of a family of boundary value problems for integro-differential equations of mixed type

AT Assanova, AP Sabalakhova… - Lobachevskii Journal of …, 2021 - Springer
The family of boundary value problems for a system of integro-differential equations of mixed
type is considered. First, considered problem is reduced to the family of boundary value …

On the unique solvability of a boundary value problem for systems of loaded integro-differential equations with involution

KI Usmanov, KZ Nazarova, ZS Yerkisheva - Lobachevskii Journal of …, 2021 - Springer
In this paper, we consider a boundary value problems for a systems of loaded integro-
differential equations with an involutory transformation. The parameterization method is …

On an algorithm for solving a problem with parameter for the essentially loaded differential equations

ZM Kadirbayeva - Lobachevskii Journal of Mathematics, 2022 - Springer
A linear boundary value problem with a parameter for a system of essentially loaded
differential equations is investigated by the DS Dzhumabaev's parametrization method. A …

Approach to Determining the Parameters of a Dynamic System Under Nonlocal High-Order Overdetermination Conditions

KR Aida-zade, VM Abdullayev - Cybernetics and Systems Analysis, 2024 - Springer
The authors study the problem of identifying constant parameters involved in the right-hand
sides of a linear, nonautonomous system of differential equations with first-order ordinary …

Solving Fredholm integro-differential equations involving integral condition: A new numerical method

Z Kadirbayeva, E Bakirova, A Tleulessova - Mathematica Slovaca, 2024 - degruyter.com
In this work we investigate a nonlocal problem for the Fredholm integro-differential equation
involving integral condition. The main tool used in our considerations is Dzhumabaev …

To the solution of integro-differential equations with nonlocal conditions

KR Aida-Zade, VM Abdullayev - Turkish Journal of …, 2022 - journals.tubitak.gov.tr
We investigate linear integro-differential equations with ordinary derivatives. The kernels of
the integrands depend only on the variable of integration, and the conditions involve the …

On a Solvability to the Problem with Parameter for Differential-Algebraic Equations

AT Assanova - Lobachevskii Journal of Mathematics, 2024 - Springer
A problem of solvability with parameter for a differential-algebraic equation is considered.
For solving the problem is applied Weierstrass canonical form. Problem is reduced to an …

Some Classes of First-Order Integro-Differential Equations and Their Conjugate Equations

SK Zarifzoda, TK Yuldashev - Lobachevskii Journal of Mathematics, 2023 - Springer
The paper is devoted to the investigation of some classes of first-order integro-differential
equation with singular kernel and its conjugate equation. The kernel of non-conjugate …