Results 51 to 60 of about 6,277,731 (373)
A Theorem of Galambos-Bojanić-Seneta Type
Abstract and Applied Analysis, 2009 In the theorems of Galambos-Bojanić-Seneta's type, the asymptotic behavior of the functions 𝑐[𝑥],𝑥≥1, for 𝑥→+∞, is investigated by the asymptotic behavior of the given sequence of positive numbers (𝑐𝑛), as 𝑛→+∞ and vice versa.
Dragan Djurčić, Aleksandar Torgašev
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On the Asymptotic Behavior of Linear Systems [PDF]
Proceedings of the American Mathematical Society, 1970 The purpose of this paper is to establish a necessary and sufficient condition for the vector-matrix system x ˙ = [ A ( t ) + B ( t ) ] x \dot x = [A(t) + B(t)]x to have solutions of the form
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MathematicsThe asymptotic behavior of solutions to nonlinear partial differential equations is an important tool for studying their long-term behavior. However, when studying the asymptotic behavior of solutions to nonlinear partial differential equations with ...
Huanzhi Ge, Feng Du
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Asymptotic Limits and Sum Rules for the Quark Propagator [PDF]
, 1996 For the structure functions of the quark propagator, the asymptotic behavior is obtained for general, linear, covariant gauges, and in all directions of the complex $k^2$-plane. Asymptotic freedom is assumed.
Gross +26 more
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Asymptotic Behavior of the Nonlinear Schrödinger Equation with Harmonic Trapping [PDF]
, 2014 We consider the cubic nonlinear Schrödinger equation with harmonic trapping on ℝD (1 ≤ D ≤ 5). In the case when all directions but one are trapped (aka “cigar‐shaped trap”), we prove modified scattering and construct modified wave operators for small ...
Z. Hani, Laurent Thomann
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The asymptotic behavior of inhomogeneous means
Journal of Mathematical Analysis and Applications, 1987 \textit{L. Hoehn} and \textit{I. Niven} [Math. Mag. 58, 151-156 (1985; Zbl 0601.26011)] have proved (by individual proofs for each mean) that the (symmetric) arithmetic, geometric, harmonic means and the root-mean- square satisfy \[ (1)\quad \lim_{x\to \infty}(M(a_ 1+x,...,x_ n+x)- x)=(a_ 1+...+a_ n)/n. \] \textit{J. L. Brenner} [Pi Mu Epsilon J.
J.L Brenner, Ralph P. Boas
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The Asymptotic Behavior of Grassmannian Codes [PDF]
IEEE Transactions on Information Theory, 2012 The iterated Johnson bound is the best known upper bound on a size of an error-correcting code in the Grassmannian $\mathcal{G}_q(n,k)$. The iterated Sch nheim bound is the best known lower bound on the size of a covering code in $\mathcal{G}_q(n,k)$. We use probabilistic methods to prove that both bounds are asymptotically attained for fixed $k$ and ...
Simon R. Blackburn, Tuvi Etzion
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Asymptotic Behavior of Certain Integrodifferential Equations
Discrete Dynamics in Nature and Society, 2016 This paper deals with asymptotic behavior of nonoscillatory solutions of certain forced integrodifferential equations of the form: atx′t′=e(t)+∫ct(t-s)α-1k(t,s)f(s,x(s))ds, c>1 ...
Said Grace, Elvan Akin
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Asymptotic flatness at null infinity in arbitrary dimensions
, 2011 We define the asymptotic flatness and discuss asymptotic symmetry at null infinity in arbitrary dimensions using the Bondi coordinates. To define the asymptotic flatness, we solve the Einstein equations and look at the asymptotic behavior of ...
Kentaro Tanabe +3 more
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SL(2,C) Chern-Simons theory and the asymptotic behavior of the colored Jones polynomial [PDF]
, 2007 We clarify and refine the relation between the asymptotic behavior of the colored Jones polynomial and Chern-Simons gauge theory with complex gauge group SL(2,C).
A. Weil +24 more
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