scispace - formally typeset
Search or ask a question
Topic

Asymptotology

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


Papers
More filters
Journal ArticleDOI
TL;DR: In this article, the authors considered the problem of finding the asymptotic stability of solutions of (1.1) when the kernel a(t) is known to have a specific (asymptotically stable) representation.
Abstract: and a(t) * a(O+), then the solution u(t) of (1.1) satisfies (1.2). In this paper, we are not concerned with sufficient conditions for the asymptotic stability of (1.1) but rather with the rate of decay of solutions of (1.1) when it is known that the equation is asymptotically stable. Thus, when the kernel a(t) is known to have a specific asymptotic representation, one seeks for asymptotic representation of the solution of (1.1). This approach has been investigated in a recent paper of

12 citations

Journal ArticleDOI
TL;DR: In this paper, the asymptotic properties of a class of nonlinear boundary value problems are studied, and very simple approximate analytic solutions are obtained, and their accuracy is illustrated by showing their good agreement with the exact numerical solution of the problem.
Abstract: The asymptotic properties of a class of nonlinear boundary‐value problems are studied. For large values of a parameter, the differential equation is of the singular‐perturbation type, and its solution is constructed by means of matched asymptotic expansions. In two special cases, very simple approximate analytic solutions are obtained, and their accuracy is illustrated by showing their good agreement with the exact numerical solution of the problem.

12 citations


Network Information
Related Topics (5)
Stochastic partial differential equation
21.1K papers, 707.2K citations
84% related
Differential equation
88K papers, 2M citations
83% related
Numerical partial differential equations
20.1K papers, 703.7K citations
82% related
Bounded function
77.2K papers, 1.3M citations
81% related
Partial differential equation
70.8K papers, 1.6M citations
81% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20231
20222
20181
201725
201626
201526