| 期刊全稱 | Asymptotics of Linear Differential Equations | | 影響因子2023 | M. H. Lantsman | | 視頻video | http://file.papertrans.cn/164/163859/163859.mp4 | | 學(xué)科分類 | Mathematics and Its Applications | | 圖書封面 |  | | 影響因子 | The asymptotic theory deals with the problern of determining the behaviour of a function in a neighborhood of its singular point. The function is replaced by another known function ( named the asymptotic function) close (in a sense) to the function under consideration. Many problems of mathematics, physics, and other divisions of natural sci- ence bring out the necessity of solving such problems. At the present time asymptotic theory has become an important and independent branch of mathematical analysis. The present consideration is mainly based on the theory of asymp- totic spaces. Each asymptotic space is a collection of asymptotics united by an associated real function which determines their growth near the given point and (perhaps) some other analytic properties. The main contents of this book is the asymptotic theory of ordinary linear differential equations with variable coefficients. The equations with power order growth coefficients are considered in detail. As the application of the theory of differential asymptotic fields, we also consider the following asymptotic problems: the behaviour of explicit and implicit functions, improper integrals, integrals dependent on a lar | | Pindex | Book 2001 |
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