Results 21 to 30 of about 362,691 (237)
On the Stability of Solutions of Neutral Differential Equations with Distributed Delay [PDF]
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
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Basic asymptotic estimates for powers of Wallis’ ratios
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
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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
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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
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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
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Record statistics in integer compositions [PDF]
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
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Performance analysis of an improved MUSIC DoA estimator [PDF]
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
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Asymptotic estimates for n-width of fuzzy numbers
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
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Asymptotic Estimates Using Probability
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
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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
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