Muhammet KAMALİ

Article | 2022 | Carpathian Mathematical Publications14 ( 2 )

In this paper, we define a subclass of analytic functions by denote (Formula Presented) satisfying the following subordinate condition (Formula Presented) where (Formula Presented). We give coefficient estimates and Fekete-Szegö inequality for functions belonging to this subclass.

Elmira ABDILDAYEVA

Article | 2015 | Eurasian Mathematical Journal6 ( 2 )

In this paper we investigate the problem of distributed optimal control for the oscillation processes described by Fredholm integro-differential equations with partial derivatives when the function of the external source depends nonlinearly on the control parameters. We have developed an algorithm for finding approximate solutions of nonlinear optimization problems with arbitrary precision. The developed method of solving nonlinear optimization problems is constructive and can be used in applications. - Keywords and phrases: boundary value problem, generalized solution, approximate solutions, convergence, functional, the maximum pr . . .inciple, the optimality condition, nonlinear integral equations More less

Samandar İSKANDAROV

Article | 2023 | Вестник Московского университета. Серия 1: Математика. Механика ( 3 )

Устанавливаются достаточные условия, обеспечивающие оценку, ограниченность, степенную абсолютную интегрируемость на полуоси, стремление к нулю при стремлении к бесконечности независимой переменной всех решений линейного вольтеррова интегродифференциального уравнения первого порядка с запаздыванием. Для этого строится обобщенный функционал Ляпунова. Приводится иллюстративный пример. Keywords: volterra integrodifferential equation of the first order; argument lag; estimation; boundedness; absolute integrability; tending to zero of solutions; generalized method of lyapunov functionals . . . More less

Olgun DURMAZ

Article | 2024 | Mediterranean Journal of Mathematics21 ( 2 )

Let L4 be a 4-dimensional Lorentzian space with the sign (−,,,). The aim of this study is to investigate the other missing algebraic forms of the constraint manifolds of 2C and 3C spatial open chains in L4. For this purpose, firstly, we obtain the structure equations of a spatial open chain using the equations of open chains of the Lorentz plane and Lorentz sphere. After then, using these structure equations, we search the algebraic forms of the constraint manifolds of 2C and 3C spatial open chains in Lorentzian 3-space with respect to the causal characters of the first link and the axis of rotation of the joint. Keyword: 15A66; 53A . . .17; 53B30; 93B17; constraint manifold; primary 15A30; secondary 70B15; spatial open chain; split quaternion; structure equatio More less

Elmira ABDILDAYEVA

Chapter of Books | 2019 | Trends in Mathematics

In the paper we investigate the unique solvability of the tracking problem with the distributed optimal control for the elastic oscillations described by Fredholm integro-differential equations. The sufficient conditions are found for existence of a unique solution to the boundary value problem, also the class of functions of external influence for which the optimization problem has a solution. The algorithm was developed for constructing the complete solution of the tracking problem of nonlinear optimization.

Elmira ABDILDAYEVA

Proceedings Paper | 2024 | AIP Conference Proceedings3085 ( 1 )

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.

Muhammet KAMALİ

Article | 2020 | Turkish Journal of Mathematics44 ( 3 )

In this paper, the authors investigate the initial coefficient bounds for a new generalized subclass of analytic functions related to Sigmoid functions. Also, the relevant connections with the famous classical Fekete?Szegö inequality for these classes are discussed.

Asılbek ÇEKEEV

Proceedings Paper | 2019 | Topology and its Applications252

The various types of ultrafilter-completeness on zero-sets of uniformly continuous functions are introduced, their properties are studied and characterizations in the category are given.

Azat AKMATBEKOVA | Gülşat MUHAMETJANOVA

Article | 2020 | Education and Information Technologies25 ( 5 )

This study was conducted to examine students' performance in paper-based and online-based tests. In the context of the study, students' performances were considered in the General Physics course between 2014 and 2015 and 2018-2019 academic years. The participants of this study are 417 students of Engineering and Science faculties at a public university of Kyrgyz Republic. Students' achievement scores in paper-based and online-based tests were obtained and appropriate statistical analysis methods were employed. According to the results, students' demographic data (i.e. gender, faculty and major) have different effects on their perfor . . .mance, and students performed better in online-based tests compared to paper-based tests. Additionally, the study aimed to analyze instructor perceptions related to testing types that interviews were conducted with 26 instructors of the General Physics course. The majority of the instructors indicated that they experienced difficulties related to the traditional form of evaluation due to the following reasons: lack of time to give personal feedback to each student, lack of time for objective evaluation, and difficulty of evaluation of crowded student groups. Therefore, they indicated the necessity of online test implementation in the context of the General Physics course More less

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.

Muhammet KAMALİ | Anarkül URDALETOVA

Article | 2022 | AIMS Mathematics7 ( 2 )

In this paper, we introduce and study a new subclass of normalized analytic functions, denoted by F-(beta,gamma())(alpha, delta, mu, H(z, C-n((lambda)) (t) )), satisfying the following subordination condition and associated with the Gegenbauer (or ultraspherical) polynomials C-n((lambda))(t) of order lambda and degree n in t: alpha (zG' (z)/G (z))(delta) + (1 - alpha) (alpha(zG' (z)/G (z))(mu) (1 + alpha(zG' (z)/G' (z))delta)(1-mu) < H(z, C-n((lambda)) (t) ), where H(z,C-n(()lambda) (t) ) = Sigma(infinity)(n=0) C-n(()lambda) (t) zn = (1 - 2tz + z(2))(-lambda), G(z) = gamma beta z(2) f" (z) + (gamma - beta) zf' (z) + (1 - gamma + bet . . .a) f (z),. 0 More less

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.