Results 21 to 30 of about 362,691 (237)

On the Stability of Solutions of Neutral Differential Equations with Distributed Delay [PDF]

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2018
We consider one class of systems of linear nonautonomous differential equations of neutral type with distributed delay. The matrix in front of the derivative of the unknown vector-function with delay is constant, the matrix in front of the unknown vector-
T. K. Yskak
doaj   +1 more source

Basic asymptotic estimates for powers of Wallis’ ratios

open access: yesCubo, 2021
For any $a\in\R$, for every $n\in\N$, and for $n$-th Wallis' ratio $w_n:=\prod_{k=1}^n\frac{2k-1}{2k}$, the relative error $r_{\,\!_0}(a,n):=\big(v_{\,\!_0}(a,n)-w_n^a\big)/w_n^a$ of the approximation $w_n^a\approx v_{\,\!_0}(a,n):=(\pi n)^{-a/2} $ is ...
Vito Lampret
doaj   +1 more source

Asymptotic estimates of the difference of products of Bessel functions by the integral of these functions

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
In the study of direct and inverse problems of finding the right-hand side of degenerate equations of mixed type with different boundary conditions, the problem arises of establishing asymptotic estimates for the differences of the products of ...
Kamil Basirovich Sabitov
doaj   +1 more source

Asymptotic estimates of the solution of the boundary value problem for singularly perturbed integro-differential equations

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2020
The mathematical models of many processes in physics, astrophysics, chemistry, biology, mechanics and technology are differential and integro-differential equations containing small parameters at the highest derivatives.
M. Dauylbayev, N. Aviltay, B. Kadirbekov
doaj   +1 more source

Asymptotic Analysis of Boundary-Value Problems for the Laplace Operator with Frequently Alternating Type of Boundary Conditions

open access: yesСовременная математика: Фундаментальные направления, 2021
This work, which can be considered as a small monograph, is devoted to the study of twoand three-dimensional boundary-value problems for eigenvalues of the Laplace operator with frequently alternating type of boundary conditions.
D. I. Borisov
doaj   +1 more source

Record statistics in integer compositions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
A $\textit{composition}$ $\sigma =a_1 a_2 \ldots a_m$ of $n$ is an ordered collection of positive integers whose sum is $n$. An element $a_i$ in $\sigma$ is a strong (weak) $\textit{record}$ if $a_i> a_j (a_i \geq a_j)$ for all $j=1,2,\ldots,i-1 ...
Arnold Knopfmacher, Toufik Mansour
doaj   +1 more source

Performance analysis of an improved MUSIC DoA estimator [PDF]

open access: yes, 2015
This paper adresses the statistical performance of subspace DoA estimation using a sensor array, in the asymptotic regime where the number of samples and sensors both converge to infinity at the same rate.
Loubaton, Philippe   +2 more
core   +2 more sources

Asymptotic estimates for n-width of fuzzy numbers

open access: yesJournal of Inequalities and Applications, 2019
n-widths in approximation theory characterize how well one can approximate a subset by some “good” subsets of a normed linear space. Especially, n-widths of sets of RN $\mathbb{R}^{N}$ have been studied deeply. Now the following problem is posed: we know
Yong J. Han, Liu Liang, Guang G. Chen
doaj   +1 more source

Asymptotic Estimates Using Probability

open access: yesAdvances in Mathematics, 1998
The authors use probabilistic arguments in the spirit of the De Moivre-Laplace central limit theorem to obtain asymptotic estimates for combinatorial sums. The main question under discussion is the following. For a given sequence \(\chi_n=\sum_{\lambda\vdash n}f(\lambda)\chi_{\lambda}\) of \(S_n\)-characters defined in terms of the associated Young ...
Beckner, William, Regev, Amitai
openaire   +1 more source

Asymptotic Convergence of the Solution of a Singularly Perturbed Integro-Differential Boundary Value Problem

open access: yesMathematics, 2020
In this study, the asymptotic behavior of the solutions to a boundary value problem for a third-order linear integro-differential equation with a small parameter at the two higher derivatives has been examined, under the condition that the roots of the ...
Assiya Zhumanazarova, Young Im Cho
doaj   +1 more source

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