Математика список научных статей
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CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT
For optimal stabilization of an autonomous linear system of differential equations with aftereffect and impulse controls, the formulation of the problem in the functional state space is used. For a system with aftereffect, approximating systems of ordinary differential equations proposed by S.N....
2023 / Yuri F. DolgiiScopusВАК -
KERNEL DETERMINATION PROBLEM FOR ONE PARABOLIC EQUATION WITH MEMORY
This paper studies the inverse problem of determining a multidimensional kernel function of an integral term which depends on the time variable t and (n−1) -dimensional space variable x′=(x1,…,xn−1) in the n -dimensional diffusion equation with a time-variable coefficient at the Laplacian of a...
2023 / Durdimurod K. Durdiev, Javlon Z. NuriddinovScopusВАК -
COMPUTING THE REACHABLE SET BOUNDARY FOR AN ABSTRACT CONTROL SYSTEM: REVISITED
A control system can be treated as a mapping that maps a control to a trajectory (output) of the system. From this point of view, the reachable set, which consists of the ends of all trajectories at a given time, can be considered an image of the set of admissible controls into the state space...
2023 / Mikhail I. GusevScopusВАК -
A NEW CHARACTERIZATION OF SYMMETRIC DUNKL AND q -DUNKL-CLASSICAL ORTHOGONAL POLYNOMIALS
In this paper, we consider the following L -difference equation Φ(x)LPn+1(x)=(ξnx+ϑn)Pn+1(x)+λnPn(x),n≥0, where Φ is a monic polynomial (even), degΦ≤2 , ξn,ϑn,λn,n≥0 , are complex numbers and L is either the Dunkl operator Tμ or the the q -Dunkl operator T(θ,q) . We show that if L=Tμ , then the...
2023 / Yahia HabbachiScopusВАК -
CONTROL PROBLEM FOR A PARABOLIC SYSTEM WITH UNCERTAINTIES AND A NON-CONVEX GOAL
We consider the control problem for a parabolic system that describes the heating of a given number of rods. Control is carried out through heat sources that are located at the ends of the rods (only at one end or at both). The density functions of the internal heat sources and exact values of the...
2023 / Igor’ V. Izmest’ev, Viktor I. UkhobotovScopusВАК -
ON TWO-SIDED UNIDIRECTIONAL MEAN VALUE INEQUALITY IN A FRÉCHET SMOOTH SPACE
The paper is devoted to a new unidirectional mean value inequality for the Fréchet subdifferential of a continuous function. This mean value inequality finds an intermediate point and localizes its value both from above and from below; for this reason, the inequality is called two-sided. The...
2023 / Dmitry V. KhlopinScopusВАК -
CONVEXITY OF REACHABLE SETS OF QUASILINEAR SYSTEMS
This paper investigates convexity of reachable sets for quasilinear systems under integral quadratic constraints. Drawing inspiration from B.T. Polyak's work on small Hilbert ball image under nonlinear mappings, the study extends the analysis to scenarios where a small nonlinearity exists on the...
2023 / Ivan OsipovScopusВАК -
POLYNOMIALS LEAST DEVIATING FROM ZERO IN Lp(−1;1) , 0≤p≤∞ , WITH A CONSTRAINT ON THE LOCATION OF THEIR ROOTS
We study Chebyshev's problem on polynomials that deviate least from zero with respect to Lp -means on the interval [−1;1] with a constraint on the location of roots of polynomials. More precisely, we consider the problem on the set Pn(DR) of polynomials of degree n that have unit leading...
2023 / Alena E. RokinaScopusВАК -
SOME INEQUALITIES BETWEEN THE BEST SIMULTANEOUS APPROXIMATION AND MODULUS OF CONTINUITY IN THE WEIGHTED BERGMAN SPACE
Some inequalities between the best simultaneous approximation of functions and their intermediate derivatives, and the modulus of continuity in a weighted Bergman space are obtained. When the weight function is γ(ρ)=ρα, α>0 , some sharp inequalities between the best simultaneous approximation and...
2023 / Muqim S. SaidusainovScopusВАК -
A PRESENTATION FOR A SUBMONOID OF THE SYMMETRIC INVERSE MONOID
In the present paper, we study a submonoid of the symmetric inverse semigroup In . Specifically, we consider the monoid of all order-, fence-, and parity-preserving transformations of In . While the rank and a set of generators of minimal size for this monoid are already known, we will provide a...
2023 / Apatsara Sareeto, Jörg KoppitzScopusВАК -
GRACEFUL CHROMATIC NUMBER OF SOME CARTESIAN PRODUCT GRAPHS
A graph G(V,E) is a system consisting of a finite non empty set of vertices V(G) and a set of edges E(G) . A (proper) vertex colouring of G is a function f:V(G)→{1,2,…,k}, for some positive integer k such that f(u)≠f(v) for every edge uv∈E(G) . Moreover, if |f(u)−f(v)|≠|f(v)−f(w)| for every...
2023 / I Nengah Suparta, Mathiyazhagan Venkatachalam, I Gede Aris Gunadi, Putu Andi Cipta PratamaScopusВАК -
A CHARACTERIZATION OF MEIXNER ORTHOGONAL POLYNOMIALS VIA A CERTAIN TRANSFERT OPERATOR
Here we consider a certain transfert operator M(c,ω)=IP−cτω, ω≠0, c∈R−{0,1}, and we prove the following statement: up to an affine transformation, the only orthogonal sequence that remains orthogonal after application of this transfert operator is the Meixner polynomials of the first kind.
2024 / Emna Abassi, Lotfi KhérijiScopusВАК -
AN EXPLICIT ESTIMATE FOR APPROXIMATE SOLUTIONS OF ODES BASED ON THE TAYLOR FORMULA
In this paper, we consider a third-order explicit scheme based on Taylor's formula to obtain an approximate solution for the Cauchy problem of systems of ODEs. We prove an estimate for the accuracy of the approximate solution with an explicit constant that depends only on the right-hand side of the ...
2024 / Abdulla Kh. Abdullayev, Abdulla A. Azamov, Marks B. RuziboevScopusВАК -
ON A GROUP EXTENSION INVOLVING THE SPORADIC JANKO GROUP J2
Using the electronic Atlas of Wilson [21], the group J_2 has an absolutely irreducible module of dimension 6 over F_4. Therefor a split extension group of the form 4^6:J_2:= \bar{G} exists. In this paper we study this group, where we determine its conjugacy classes and character table using the...
2024 / Ayoub B. M. BasheerScopusВАК -
PRICING POWERED α -POWER QUANTO OPTIONS WITH AND WITHOUT POISSON JUMPS
This paper deals with the problem of Black-Scholes pricing for the Quanto option pricing with power type powered and powered payoff underlying foreign currency is driven by Brownian motion and Poisson jumps, via risk-neutral probability measure. Our approach in this work is probabilistic, based on...
2024 / Javed Hussain, Nisar AliScopusВАК -
EXTREMAL VALUES ON THE MODIFIED SOMBOR INDEX OF TREES AND UNICYCLIC GRAPHS
Let G=(V,E) be a simple connected graph. The modified Sombor index denoted by mSo(G) is defined as mSo(G)=∑uv∈E1d2u+d2v−−−−−−√, where dv denotes the degree of vertex v . In this paper we present extremal values of modified Sombor index over the set of trees and unicyclic graphs.
2024 / Raghavendra H Kashyap, Yanamandram B Venkatakrishnan, Rashad Ismail, Selvaraj Balachandran, Hari Naresh KumarScopusВАК -
GRAPHS Γ OF DIAMETER 4 FOR WHICH Γ3,4 IS A STRONGLY REGULAR GRAPH WITH μ=4,6
We consider antipodal graphs Γ of diameter 4 for which Γ1,2 is a strongly regular graph. A.A. Makhnev and D.V. Paduchikh noticed that, in this case, Δ=Γ3,4 is a strongly regular graph without triangles. It is known that in the cases μ=μ(Δ)∈{2,4,6} there are infinite series of admissible parameters...
2024 / Alexander A. Makhnev, Mikhail P. Golubyatnikov, Konstantin S. EfimovScopusВАК -
STATISTICAL CONVERGENCE OF DOUBLE SEQUENCES IN NEUTROSOPHIC 2-NORMED SPACES
In this paper, we have studied the notion of statistical convergence for double sequences in neutrosophic 2-normed spaces. Also, we have defined statistically Cauchy double sequences and statistically completeness for double sequences and investigated some interesting results in connection with...
2024 / Rahul Mondal, Nesar HossainScopusВАК -
A TWO-FOLD CAPTURE OF COORDINATED EVADERS IN THE PROBLEM OF A SIMPLE PURSUIT ON TIME SCALES
In finite-dimensional Euclidean space, we study the problem of a simple pursuit of two evaders by a group of pursuers in a given time scale. It is assumed that the evaders use the same control and do not move out of a convex polyhedral set. The pursuers use counterstrategies based on information on ...
2024 / Elena S. Mozhegova, Nikolai N. PetrovScopusВАК -
ALPHA LABELINGS OF DISJOINT UNION OF HAIRY CYCLES
In this paper, we prove the following results: 1) the disjoint union of n≥2 isomorphic copies of the graph which is obtained by adding a pendent edge to each vertices of the cycle of order 4 admits α -valuation; 2) the disjoint union of two isomorphic copies of the graph which is obtained by adding ...
2024 / G. Rajasekaran, L. UmaScopusВАК