Математика список научных статей
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Неклассическое условие оптимальности в гибридной задаче управления гиперболическими и обыкновенными дифференциальными уравнениями с запаздыванием
Рассматривается задача оптимального управления линейной гиперболической системой первого порядка, в которой неоднородность в правой части определяется из управляемой линейной системы обыкновенных дифференциальных уравнений с постоянным запаздыванием. Матрица коэффициентов при фазовых переменных в...
2024 / Аргучинцев Александр Валерьевич, Поплевко Василиса ПавловнаScopusВАКRSCIESCI
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Differential game with a “life line” under the Grönwall constraint on controls
We study the pursuit-evasion and “life line” differential games of one pursuer and one evader, whose controls are subjected to constraints given by Grönwall type inequalities. It is said that an evader has been captured by a pursuer if the state of the pursuer coincides with the state of the...
2024 / Bahrom T. Samatov, Adakhambek Kh. AkbarovScopusВАКRSCIESCI -
Схема обратной связи в контексте аксиоматического подхода к сужению множества Парето
Предложена схема обратной связи для решения задач выбора в контексте аксиоматического подхода к сужению множества Парето. Приведены необходимые сведения об аксиоматическом подходе, изучен пример. Схема обратной связи раскрыта в контексте задачи о возможности заключения договора страхования....
2024 / Сачков Александр ВалерьевичScopusВАКRSCIESCI -
Dynamic decision-making under uncertainty: Bayesian learning in environmental game theory
This paper investigates the issue of pollution control dynamic games defined over a finite time horizon, with a particular focus on parameter uncertainty within the ecosystem. We employ a dynamic Bayesian learning method to estimate uncertain parameters in the dynamic equation, differing from...
2024 / Jiangjing Zhou, Ovanes L. Petrosian, Hongwei GaoScopusВАКRSCIESCI -
ZAGREB INDICES OF A NEW SUM OF GRAPHS
The first and second Zagreb indices, since its inception have been subjected to an extensive research in the physiochemical analysis of compounds. In [6] Hanyuan Deng et.al computed the first and second Zagreb indices of four new operations on a graph defined by M. Eliasi, B. Taeri in [4]....
2023 / Liju Аlex, Indulal GopalapillaiScopusВАК -
SOME TRIGONOMETRIC SIMILARITY MEASURES OF COMPLEX FUZZY SETS WITH APPLICATION
Similarity measures of fuzzy sets are applied to compare the closeness among fuzzy sets. These measures have numerous applications in pattern recognition, image processing, texture synthesis, medical diagnosis, etc. However, in many cases of pattern recognition, digital image processing, signal...
2023 / Md. Yasin AliScopusВАК -
AROUND THE ERDÖS–GALLAI CRITERION
By an (integer) partition we mean a non-increasing sequence λ=(λ1,λ2,…) of non-negative integers that contains a finite number of non-zero components. A partition λ is said to be graphic if there exists a graph G such that λ=dptG , where we denote by dptG the degree partition of G composed of the...
2023 / Vitaly A. Baransky, Tatiana A. SenchonokScopusВАК -
STATISTICAL CONVERGENCE IN A BICOMPLEX VALUED METRIC SPACE
In this paper, we study some basic properties of bicomplex numbers. We introduce two different types of partial order relations on bicomplex numbers, discuss bicomplex valued metric spaces with respect to two different partial orders, and compare them. We also define a hyperbolic valued metric...
2023 / Subhajit Bera, Binod Chandra TripathyScopusВАК -
WEIGHTED Sp -PSEUDO S -ASYMPTOTICALLY PERIODIC SOLUTIONS FOR SOME SYSTEMS OF NONLINEAR DELAY INTEGRAL EQUATIONS WITH SUPERLINEAR PERTURBATION
This work is concerned with the existence of positive weighted pseudo S -asymptotically periodic solution in Stepanov-like sense for some systems of nonlinear delay integral equations. In this context, we will first be interested in establishing a suitable composition theorem, and then some...
2023 / Hamza El Bazi, Abdellatif SadratiScopusВАК -
ON THE PROPERTIES OF THE SET OF TRAJECTORIES OF THE NONLINEAR CONTROL SYSTEM WITH QUADRATIC INTEGRAL CONSTRAINT ON THE CONTROL FUNCTIONS
In this paper the control system described by a nonlinear differential equation is studied. It is assumed that the control functions have a quadratic integral constraint, more precisely, the admissible control functions are chosen from the ellipsoid of the space L2([t0,θ];Rm) . Different properties ...
2023 / Anar Huseyin, Nesir HuseyinScopusВАК -
INEQUALITIES FOR A CLASS OF MEROMORPHIC FUNCTIONS WHOSE ZEROS ARE WITHIN OR OUTSIDE A GIVEN DISK
In this paper, we consider a class of meromorphic functions r(z) having an s -fold zero at the origin and establish some inequalities of Bernstein and Turán type for the modulus of the derivative of rational functions in the sup-norm on the disk in the complex plane. These results produce some...
2023 / Mohd Yousf Mir, Shah Lubna Wali, Wali Mohammad ShahScopusВАК -
ON CAUCHY-TYPE BOUNDS FOR THE EIGENVALUES OF A SPECIAL CLASS OF MATRIX POLYNOMIALS
Let Cm×m be the set of all m×m matrices whose entries are in C, the set of complex numbers. Then P(z):=∑j=0nAjzj, Aj∈Cm×m, 0≤j≤n is called a matrix polynomial. If An≠0 , then P(z) is said to be a matrix polynomial of degree n . In this paper we prove some results for the bound estimates of the...
2023 / Zahid Bashir Monga, Wali Mohammad ShahScopusВАК -
SUM SIGNED GRAPHS – II
In this paper, the study of sum signed graphs is continued. The balancing and switching nature of the graphs are analyzed. The concept of rna number is revisited and an important relation between the number and its complement is established.
2023 / Athira P. Ranjith, Joseph Varghese KureetharaScopusВАК -
LATTICE UNIVERSALITY OF LOCALLY FINITE p -GROUPS
For an arbitrary prime p , we prove that every algebraic lattice is isomorphic to a complete sublattice in the subgroup lattice of a suitable locally finite p -group. In particular, every lattice is embeddable in the subgroup lattice of a locally finite p -group.
2023 / Vladimir B. RepnitskiǐScopusВАК -
FIXED RATIO POLYNOMIAL TIME APPROXIMATION ALGORITHM FOR THE PRIZE-COLLECTING ASYMMETRIC TRAVELING SALESMAN PROBLEM
We develop the first fixed-ratio approximation algorithm for the well-known Prize-Collecting Asymmetric Traveling Salesman Problem, which has numerous valuable applications in operations research. An instance of this problem is given by a complete nodeand edge-weighted digraph G . Each node of the...
2023 / Ksenia Rizhenko, Katherine Neznakhina, Michael KhachayScopusВАК -
HYERS–ULAM–RASSIAS STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS WITH A GENERALIZED ACTIONS ON THE RIGHT-HAND SIDE
The paper considers the Hyers–Ulam–Rassias stability for systems of nonlinear differential equations with a generalized action on the right-hand side, for example, containing impulses — delta functions. The fact that the derivatives in the equation are considered distributions required a correction ...
2023 / Alexander N. Sesekin, Anna D. KandrinaScopusВАК -
THE MINIMAL DOMINATING SETS IN A DIRECTED GRAPH AND THE KEY INDICATORS SET OF SOCIO–ECONOMIC SYSTEM
The paper deals with a digraph with non-negative vertex weights. A subset W of the set of vertices is called dominating if any vertex that not belongs to it is reachable from the set W within precisely one step. A dominating set is called minimal if it ceases to be dominating when removing any...
2023 / Ruslan Yu. Simanchev, Inna V. Urazova, Vladimir V. VoroshilovScopusВАК -
ON ONE ZALCMAN PROBLEM FOR THE MEAN VALUE OPERATOR
Let D′(Rn) and E′(Rn) be the spaces of distributions and compactly supported distributions on Rn , n≥2 respectively, let E′♮(Rn) be the space of all radial (invariant under rotations of the space mathbbRn ) distributions in E′(Rn) , let T˜ be the spherical transform (Fourier–Bessel transform) of a...
2023 / Natalia P. Volchkova, Vitaliy V. VolchkovScopusВАК -
APPROXIMATION OF DIFFERENTIATION OPERATORS BY BOUNDED LINEAR OPERATORS IN LEBESGUE SPACES ON THE AXIS AND RELATED PROBLEMS IN THE SPACES OF (p, q)-MULTIPLIERS AND THEIR PREDUAL SPACES
We consider a variant En,k(N ; r, r; p, p) of the four-parameter Stechkin problem En,k(N ; r, s; p, q) on the best approximation of differentiation operators of order k on the class of n times differentiable functions (0 < k < n) in Lebesgue spaces on the real axis. We discuss the state of research ...
2023 / Vitalii V. ArestovScopusВАК -
COUNTABLE COMPACTNESS MODULO AN IDEAL OF NATURAL NUMBERS
In this article, we introduce the idea of I-compactness as a covering property through ideals of N and regardless of the I-convergent sequences of points. The frameworks of s-compactness, compactness and sequential compactness are compared to the structure of I-compact space. We began our research...
2023 / Prasenjit Bal, Debjani Rakshit, Susmita SarkarScopusВАК
