Avıt ASANOV

Proceedings Paper | 2017 | 2017 International Multi-Conference on Engineering, Computer and Information Sciences (SIBIRCON)

In this paper we obtained the formula for the common solution of Riccati equations. Here Riccati equations was solved for common cases. Results obtained have been compared with the conventional ones and a comment has been made on them.

Avıt ASANOV

Article | 2018 | Синергия ( 4 )

Методом неотрицательных квадратичных форм изучены вопросы единственности решений для одного класса систем линейных интегральных уравнений Фредгольма третьего рода на полуоси.

Avıt ASANOV

Article | 2020 | Ukrainian Mathematical Journal72 ( 2 )

On the basis of a new approach, we prove the uniqueness theorem and construct Lavrent'ev's regularizing operators for the solution of nonclassical linear Volterra integral equations of the first kind with nondifferentiable kernels.

Avıt ASANOV | Kalıskan MATANOVA

Article | 2021 | Lobachevskii Journal of Mathematics42 ( 3 )

In this paper, we are applied a new approach to prove that the solution of the linear Fredholm operator equation of the third kind given on a segment and having a finite number of multipoint singularities is equivalent to the solution of the linear Fredholm operator equation of the second kind with additional conditions. We are showed an example of solving the system of linear integral Fredholm equations of the third kind based on the equivalence of the above equations.

Avıt ASANOV | Elmira ABDILDAYEVA | Kalıskan MATANOVA

Article | 2017 | Молодой учёный136 ( 2 )

In this paper we obtained a formula for the general solution for one class of Riccati equation. This formula was tested on the known results. The existence theorem of solution of Cauchy problem is proved. - Key words: Riccati equation, the general solution, the Cauchy problem

Avıt ASANOV

Article | 2017 | Doklady Mathematics95 ( 3 )

A new approach is used to show that the solution for one class of systems of linear Fredholm integral equations of the third kind with multipoint singularities is equivalent to the solution of systems of linear Fredholm integral equations of the second kind with additional conditions. The existence, nonexistence, uniqueness, and nonuniqueness of solutions to systems of linear Fredholm integral equations of the third kind with multipoint singularities are analyzed

Avıt ASANOV

Article | 2018 | Постулат34 ( 8 )

В данной статье построены регуляризирующие операторы, доказаны теоремы единственности и получены оценки устойчивости решений для одного класса линейных уравнений третьего рода Фредгольма на оси.

Avıt ASANOV

Article | 2022 | Бюллетень науки и практики / Bulletin of Science and Practice8 ( 9 )

Исследован вопрос о единственности решения для нового класса линейных интегральных уравнений Вольтерры третьего рода на сегменте. На основе метода интегральных преобразований и метода неотрицательных квадратичных форм доказаны теоремы единственности решения для данного класса интегральных уравнений третьего рода.

Avıt ASANOV

Article | 2018 | Differential Equations54 ( 3 )

Based on a new approach, we show that finding solutions for a class of systems of linear (respectively, nonlinear) Fredholm integral equations of the third kind with multipoint singularities is equivalent to finding solutions of systems of linear (respectively, nonlinear) Fredholm integral equations of the second kind with additional conditions. We study the existence, nonexistence, uniqueness, and nonuniqueness of solutions for this class of systems of Fredholm integral equations of the third kind with multipoint singularities.

Avıt ASANOV

Article | 2017 | Доклады Академии Наук474 ( 4 )

На основе нового подхода показано, что решение для одного класса систем линейных интегральных уравнений Фредгольма третьего рода с многоточечными особенностями эквивалентно решению систем линейных интегральных уравнений Фредгольма второго рода с дополнительными условиями. Изучены вопросы существования, несуществования, единственности и неединственности решения для систем линейных интегральных уравнений Фредгольма третьего рода с многоточечными особенностями . . . More less

Avıt ASANOV

Article | 2021 | AIP Advances11 ( 7 )

In this framework, the necessary and sufficient conditions for the existence and uniqueness of the second-order linear Fredholm-Stieltjes-integral equations, u(x) = lambda integral(b)(a) K(x, y) u(y) dg(y) + f(x), x is an element of[a, b], are thoroughly derived. Moreover, instead of approximating the integral equation by different numbers of partition n, the optimal number n for the given error tolerance is established. The system of equations is implemented in MAPLE for the Runge method. An efficient scheme is proposed for second-order integral equations. The solution has been compared with an exact and closed-form solution for li . . .mited cases. (c) 2021 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/) More less

Avıt ASANOV

Article | 2017 | MANAS Journal of Engineering (MJEN)5 ( 3 )

In this paper we obtained the formula for the common solution of Riccati equations. Here Riccati equations was solved for common cases. Results obtained have been compared with the conventional ones and a comment has been made on them.- На этом работе мы получили формулу для общего решения уравнений Риккати Для общего случае мы получили решений уравнения Риккати. Полученные результаты соответствует классическими результатами.