Asymptotic Methods in the Theory of Ordinary Differential Equations View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1970

AUTHORS

V. F. Butuzov , A. B. Vasil’eva , M. V. Fedoryuk

ABSTRACT

The main aim of investigations undertaken during the early stages of research into differential equations was the derivation of exact solutions. It was subsequently found, however, that the effective representation of the exact solution in terms of elementary functions is possible only for a limited number of special classes of differential equations. Therefore, the question of methods for the construction of approximate solutions of differential equations was recognized to be the main area of research. Work in this area proceeded along two directions: a) the development of numerical methods of solution and b) the development of the so-called asymptotic methods of solution. The aim of this review is to describe asymptotic methods at their present level of development. More... »

PAGES

1-82

References to SciGraph publications

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  • Book

    TITLE

    Mathematical Analysis

    ISBN

    978-1-4684-3305-0
    978-1-4684-3303-6

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-1-4684-3303-6_1

    DOI

    http://dx.doi.org/10.1007/978-1-4684-3303-6_1

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1028128485


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