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Asymptotology

About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.


Papers
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Journal ArticleDOI
TL;DR: In this paper, the problem of estimating the region of asymptotic stability is formulated as a minimization problem, and the Davidon search routine is applied to obtain the minimum.
Abstract: The problem of estimating the region of asymptotic stability is formulated as a minimization problem, and the Davidon search routine is applied to obtain the minimum. This approach is compared with the tangency method of Rodden for one example problem.

2 citations

Journal ArticleDOI
TL;DR: In this article, the existence and asymptotic behavior of positive solutions to a quasilinear elliptic problem with Neumann condition was investigated and shown to be true.
Abstract: In this paper we investigate the existence and asymptotic behavior of positive solutions to a quasilinear elliptic problem with Neumann condition.

2 citations

Journal ArticleDOI
05 May 2017
TL;DR: In this paper, an asymptotic approximation of the solution of the Cauchy problem for large times is constructed in the case where the initial function has a power-like asymPTotics at infinity.
Abstract: For the heat equation in the plane, an asymptotic approximation of the solution of the Cauchy problem for large times is constructed in the case where the initial function has a power-like asymptotics at infinity. In addition to direct application to heat conduction and diffusion processes, the study of the asymptotic behavior of the solution of the problem under consideration is of independent interest for the asymptotic analysis.

2 citations

Journal ArticleDOI
TL;DR: In this article, the existence and convexity of a limit outputs set is proved and some asymptotic version of Lagrange's multipliers method is established, and estimates of optimal values to particular stochastic control problems are given.

2 citations

Journal ArticleDOI
TL;DR: In this article, the asymptotic behavior for large time solutions of the Cauchy problem for the complex Landau-Ginzburg equation is described, where the initial data are assumed to be small in the multidimensional case and can be arbitrary in the one-dimensional case.
Abstract: The asymptotic behaviour for large time of solutions of the Cauchy problem for the complex Landau-Ginzburg equation is described. The initial data are assumed to be small in the multidimensional case (relative to the space variables), and they can be arbitrary in the one-dimensional case. In both cases the leading term is explicitly presented and an estimate for the remainder in the uniform metric is given.

2 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20231
20222
20181
201725
201626
201526