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Titlebook: Asymptotics of Linear Differential Equations; M. H. Lantsman Book 2001 Springer Science+Business Media B.V. 2001 Operator theory.differenc

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樓主
發(fā)表于 2025-3-21 18:48:22 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Asymptotics of Linear Differential Equations
影響因子2023M. H. Lantsman
視頻videohttp://file.papertrans.cn/164/163859/163859.mp4
學科分類Mathematics and Its Applications
圖書封面Titlebook: Asymptotics of Linear Differential Equations;  M. H. Lantsman Book 2001 Springer Science+Business Media B.V. 2001 Operator theory.differenc
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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Asymptotic Behavior of Functions,or asymptotic approximations of the functions which may be written by the relations of type ., ~, and we estimate their growth (when the argument tends to infinity) by means of real numbers. Simple estimates were regarded in subsection 3.2.1.
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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 lar978-90-481-5773-0978-94-015-9797-5
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Introduction,or instance, for the Airy equation .″ + . = 0, the distance between nearest zeros of a solution is approximately equal to . criteria of asymptotic stability and instability etc. Solutions of asymptotic problems may be included as an important stage for solving global problems [for example, it is imp
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https://doi.org/10.1007/978-94-015-9797-5Operator theory; difference equation; functional analysis; functional equation; ordinary differential eq
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978-90-481-5773-0Springer Science+Business Media B.V. 2001
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