Results 41 to 50 of about 6,423,109 (230)

Subexponential Solutions of Linear Volterra Difference Equations

open access: yesNonautonomous Dynamical Systems, 2015
We study the asymptotic behavior of the solutions of a scalar convolution sum-difference equation. The rate of convergence of the solution is found by determining the asymptotic behavior of the solution of the transient renewal equation.
Bohner Martin, Sultana Nasrin
doaj   +1 more source

Renormalization Group Functions of the \phi^4 Theory in the Strong Coupling Limit: Analytical Results

open access: yes, 2010
The previous attempts of reconstructing the Gell-Mann-Low function \beta(g) of the \phi^4 theory by summing perturbation series give the asymptotic behavior \beta(g) = \beta_\infty g^\alpha in the limit g\to \infty, where \alpha \approx 1 for the space ...
A. A. Pogorelov   +62 more
core   +1 more source

Asymptotic Limits and Sum Rules for the Quark Propagator [PDF]

open access: yes, 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
core   +2 more sources

A Theorem of Galambos-Bojanić-Seneta Type

open access: yesAbstract 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
doaj   +1 more source

Global Well-Posedness and Determining Nodes of Non-Autonomous Navier–Stokes Equations with Infinite Delay on Bounded Domains

open access: yesMathematics
The 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
doaj   +1 more source

Asymptotic flatness at null infinity in arbitrary dimensions

open access: yes, 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
core   +1 more source

Asymptotic Behavior of Certain Integrodifferential Equations

open access: yesDiscrete 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
doaj   +1 more source

Properties of the solitonic potentials of the heat operator

open access: yes, 2011
Properties of the pure solitonic $\tau$-function and potential of the heat equation are studied in detail. We describe the asymptotic behavior of the potential and identify the ray structure of this asymptotic behavior on the $x$-plane in dependence on ...
Boiti, M.   +2 more
core   +1 more source

A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation [PDF]

open access: yes, 2017
In this paper we analyze the large-time behavior of the augmented Burgers equation. We first study the well-posedness of the Cauchy problem and obtain $L^1$-$L^p$ decay rates.
Ignat, Liviu I., Pozo, Alejandro
core   +4 more sources

ON THE ASYMPTOTIC BEHAVIOR OF THE LINEARITY DEFECT [PDF]

open access: yesNagoya Mathematical Journal, 2017
This work concerns the linearity defect of a module $M$ over a Noetherian local ring $R$, introduced by Herzog and Iyengar in 2005, and denoted $\text{ld}_{R}M$. Roughly speaking, $\text{ld}_{R}M$ is the homological degree beyond which the minimal free resolution of $M$ is linear.
Nguyen, Hop D., Vu, Thanh
openaire   +3 more sources

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