Topic
Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
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23 Jun 2016
TL;DR: In this article, the analysis of asymptotic behavior of the solutions of differential systems is considered using integral inequalities sufficient conditions for the existence of an equilibrium state are presented for various classes of differentials.
Abstract: In the paper the analysis of asymptotic behavior of the solutions of differential systems is considered. Using integral inequalities sufficient conditions for the existence of an asymptotic equilibrium state are presented for various classes of differential systems.
2 citations
01 Jan 1997
2 citations
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TL;DR: In this paper, a uniform asymptotic approximation to the solution up to an arbitrary power of the small parameter is constructed and substantiated, where the solution has quite a complicated structure.
Abstract: The initial value problem for a system of nonlinear ordinary differential equations with a small parameter multiplying the highest derivative is investigated. In a neighbourhood of the initial point the asymptotic behaviour of the solution has quite a complicated structure. A uniform asymptotic approximation to the solution up to an arbitrary power of the small parameter is constructed and substantiated. Bibliography: 3 titles.
2 citations
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TL;DR: In this article, the authors studied the asymptotics of first-order nonlinear difference equations and provided sufficient conditions for the existence of an actual solution with such as-ymptotic behaviour.
Abstract: ¯We study the asymptotics of first-order nonlinear difference equations. In particular we present an asymptotic functional equation for potential asymptotic behaviour, and a theorem stating sufficient conditions for the existence of an actual solution with such asymptotic behaviour.
2 citations
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TL;DR: In this article, asymptotic behavior in time of global small solutions to the quadratic nonlinear Schrodinger equation in two-dimensional spaces was studied. But the authors focused on the time complexity of small solutions.
Abstract: We study asymptotic behavior in time of global small solutions to the quadratic nonlinear Schrodinger equation in two-dimensional spaces i∂tu
2 citations