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Bulunan: 6 Adet 0.001 sn
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Bulunan: 6 Adet 0.001 sn
BM Sürdürülebilir Kalkınma : Sağlık ve Kaliteli Y ... ✕Bölümü : Matematik Bölümü ✕
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Sağlık ve Kaliteli YaşamSağlıklı ve kaliteli yaşamı her yaşta güvence altına almak
Erişime Açık

On the Solvability of a Boundary Value Problem for Nonlinear Optimization of Oscillatory Processes

Elmira ABDILDAYEVA

The paper investigates the solvability of a boundary value problem in the control of an oscillatory process described by control in partial derivatives of the first order. It has been established that there are an infinite set of controls, as solutions to the system of nonlinear Fredholm integral equations of the first kind, each of which transfers the controlled process from the initial state to the final specified state in a specified time. Sufficient conditions for the existence of a nonlinear optimization solution are found.

Konferans Bildirisi 2024 Fen Fakültesi AIP Conference Proceedings3085 ( 1 ) 3 Görüntülenme
Erişime Açık

Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule

Avıt ASANOV | Elman HAZAR | Kalıskan MATANOVA

The numerical solution of linear Volterra-Stieltjes integral equations of the second kind by using the generalized trapezoid rule is established and investigated. Also, the conditions on estimation of the error are determined and proved. A selected example is solved employing the proposed method.

Makale 2016 Fen Fakültesi Advances in Mathematical Physics 91 Görüntülenme
Erişime Açık

ON THE INFLUENCE OF INTEGRAL PERTURBATIONS ON THE BOUNDEDNESS OF SOLUTIONS OF A FOURTH-ORDER LINEAR DIFFERENTIAL EQUATION

Samandar İSKANDAROV

Sufficient conditions for the boundedness on the half-axis of all solutions of the fourth-order linear Volterra integro-differential equation are established. Moreover, it is shown that the corresponding linear homogeneous and inhomogeneous differential equations can have unbounded solutions on the half-axis. Illustrative examples are given.

Makale 2022 Fen Fakültesi TWMS Journal of Pure and Applied Mathematics13 ( 1 ) 66 Görüntülenme
Erişime Açık

Fractional differential equations and Volterra–Stieltjes integral equations of the second kind

Avıt ASANOV

In this paper, we construct a method to find approximate solutions to fractional differential equations involving fractional derivatives with respect to another function. The method is based on an equivalence relation between the fractional differential equation and the Volterra-Stieltjes integral equation of the second kind. The generalized midpoint rule is applied to solve numerically the integral equation and an estimation for the error is given. Results of numerical experiments demonstrate that satisfactory and reliable results could be obtained by the proposed method.

Makale 2019 Fen Fakültesi Computational and Applied Mathematics38 ( 4-UNSP 160 ) 53 Görüntülenme
Erişime Açık

On the solvability of nonlinear integral equations

Elmira ABDILDAYEVA

The article explores general nonlinear equations with a parameter. Sufficient conditions for the existence of a solution of nonlinear integral equations in the form of the sum of two functions for the individual values of the parameter are found.

Konferans Bildirisi 2021 Fen Fakültesi AIP Conference Proceedings2325 ( 1 ) 184 Görüntülenme
Erişime Açık

Uniqueness of the solution of one class of Volterra-Stieltjes linear integral equations of the third kind = Единственность решения одного класса линейных интегральных уравнений Вольтерра-Стилтьеса третьего рода

Avıt ASANOV | Kalıskan MATANOVA | Eliza Apsamat Kızı

In this paper, the question of uniqueness of the solution for one class of Volterra-Stieltjes linear integral equations of the third kind is investigated. The notion of derivative with respect to an increasing function was introduced by A. Asanov in 2001 and plays special role in the study. This notion is a generalization of the usual concept of a derivative function and is an inverse operator for one class of the Stieltjes integral. Basing on idea of such derivative, using the method of integral transformations and the method of non-negative quadratic forms, the uniqueness theorems for the so ...Daha fazlası

Makale 2022 Fen Fakültesi Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva / Журнал Средневолжского математического общества24 ( 1 ) 99 Görüntülenme
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