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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TL;DR: In this paper, a space asymptotic model for the study of pulsed experiments in neutron multiplying systems is presented, where the Laplace transformed one-group transport equation is derived.
25 citations
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TL;DR: In this paper, the authors considered the Dirichlet boundary value problem for the biharmonic equation defined in a thin T-like shaped structure and constructed an asymptotic expansion of its solution.
Abstract: In the paper, we consider the Dirichlet boundary value problem for the biharmonic equation defined in a thin T-like shaped structure. Our goal is to construct an asymptotic expansion of its solution. We provide error estimates and also introduce and justify the asymptotic partial domain decomposition for this problem.
25 citations
01 Jan 1990
TL;DR: In this paper, a symmetric positive definite matrix (B$ ) is used as a Liapunov function to investigate the asymptotic behaviors of solutions of (1.2) and (3) problems.
Abstract: where $A$ is a constant $n¥times n$ matrix, $C(t, s)$ is an $n¥times n$ matrix continuous for $ 0¥leqq s¥leqq t<¥infty$ and $D(t)$ is an $n¥times n$ matrix continuous for $t$ $¥geqq 0$ . In case $A$ is a stable matrix, there exists a symmetric positive definite matrix $B$ such that (1.4) $A^{T}B+BA=-I$ , and we can use the function $V=x^{T}Bx$ as a Liapunov function to investigate asymptotic behaviors of solutions of (1.2) $(¥mathrm{c}.¥mathrm{f}. [6, 12])$. For the equation (1.3) there is another method, that is, we can use a nice resolvent $Z(t)$ for (1.3)
25 citations
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TL;DR: In this article, the authors derive new simple explicit formulas for the coefficients of the asymptotic expansion to the sequence of factorials, using a theorem of Howard for a formula recently proved by Brassesco and M\'endez.
Abstract: Applying a theorem of Howard for a formula recently proved by Brassesco and M\'endez, we derive new simple explicit formulas for the coefficients of the asymptotic expansion to the sequence of factorials. To our knowledge no explicit formula containing only the four basic operations was known until now.
25 citations
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TL;DR: In this article, a reduction method is used to prove the existence and uniqueness of strong solutions to stochastic Kolmogorov-Petrovskii-Piskunov (KPP) equations, where the initial condition may be anticipating.
Abstract: A reduction method is used to prove the existence and uniqueness of strong solutions to stochastic Kolmogorov–Petrovskii–Piskunov (KPP) equations, where the initial condition may be anticipating. The asymptotic behaviour of the solution for large time and space and the random travelling waves are then studied under two different basic assumptions.
25 citations