Asymptotics Of Linear Differential Equations


Asymptotics Of Linear Differential Equations
Author: M.H. Lantsman
Publisher: Springer Science & Business Media
ISBN: 9401597979
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Asymptotics Of Linear Differential Equations

eBook File: Asymptotics-of-linear-differential-equations.PDF Book by M.H. Lantsman, Asymptotics Of Linear Differential Equations Books available in PDF, EPUB, Mobi Format. Download Asymptotics Of Linear Differential Equations books, 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 large parameter, linear differential and difference equations, etc .. The obtained results have an independent meaning. The reader is assumed to be familiar with a comprehensive course of the mathematical analysis studied, for instance at mathematical departments of universities. Further necessary information is given in this book in summarized form with proofs of the main aspects.


Asymptotics of Linear Differential Equations
Language: en
Pages: 441
Authors: M.H. Lantsman
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media
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
Numerical Integration of Asymptotic Solutions of Ordinary Differential Equations
Language: en
Pages: 44
Authors: Gaylen A. Thurston
Categories: Mathematics
Type: BOOK - Published: 1989 - Publisher:
Books about Numerical Integration of Asymptotic Solutions of Ordinary Differential Equations
Asymptotics of High Order Differential Equations
Language: en
Pages: 344
Authors: R. B. Paris, Alistair D. Wood
Categories: Asymptotic expansions
Type: BOOK - Published: 1986 - Publisher: Longman Scientific and Technical
Books about Asymptotics of High Order Differential Equations
Asymptotic Solution of Ordinary Differential Equations
Language: en
Pages: 5
Authors: Nicholas D. Kazarinoff
Categories: Asymptotic distribution (Probability theory)
Type: BOOK - Published: 1957 - Publisher:
Books about Asymptotic Solution of Ordinary Differential Equations
Mathematical Reviews
Language: en
Pages:
Authors: Nicholas D. Kazarinoff
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher:
Books about Mathematical Reviews
Asymptotic Methods for Ordinary Differential Equations
Language: en
Pages: 364
Authors: R.P. Kuzmina
Categories: Mathematics
Type: BOOK - Published: 2000-09-30 - Publisher: Springer Science & Business Media
In this book we consider a Cauchy problem for a system of ordinary differential equations with a small parameter. The book is divided into th ree parts according to three ways of involving the small parameter in the system. In Part 1 we study the quasiregular Cauchy problem. Th at
Lectures on Asymptotic Solutions of Ordinary Linear Differential Equations
Language: en
Pages: 150
Authors: Arthur Erdélyi
Categories: Asymptotic expansions
Type: BOOK - Published: 1961 - Publisher:
Books about Lectures on Asymptotic Solutions of Ordinary Linear Differential Equations
Mathematics of the USSR.
Language: en
Pages:
Authors: Arthur Erdélyi
Categories: Mathematics
Type: BOOK - Published: 1969 - Publisher:
Books about Mathematics of the USSR.
Stability and Asymptotic Behavior of Differential Equations
Language: en
Pages: 166
Authors: W. A. Coppel
Categories: Differential equations
Type: BOOK - Published: 1965 - Publisher:
Books about Stability and Asymptotic Behavior of Differential Equations
On the Asymptotic Solutions of Linear Differential Equations
Language: en
Pages: 166
Authors: Clyde Elton Love
Categories: Asymptotes
Type: BOOK - Published: 1914 - Publisher:
Books about On the Asymptotic Solutions of Linear Differential Equations