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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.


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TL;DR: In this article, the authors consider hyperbolic equations with time-dependent coefficients and develop an abstract framework to derive the asymptotic behaviour of the representation of solutions for large times.

3 citations

Journal ArticleDOI
TL;DR: In this article, an analogue of Vishik-Lyusternik-Vasileva-Imanalieva boundary functions method was proposed for constructing a uniform asymptotic expansion of solutions to many band bisingularly problems.
Abstract: The paper proposes an analogue of Vishik–Lyusternik–Vasileva–Imanalieva boundary functions method for constructing a uniform asymptotic expansion of solutions to many band (or with an intermediate boundary layers) bisingularly problems By means of this method we construct the uniform asymptotic expansion for the solution to the three-band bisingular Dirichlet problem for second order ordinary differential equation on the interval By the maximum principle we justify formal asymptotic expansion of the solution, that is, an estimate for the error term is established

3 citations


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