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
Asymptotic Analysis
Language: en
Pages: 363
Authors: Mikhail V. Fedoryuk
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media
In this book we present the main results on the asymptotic theory of ordinary linear differential equations and systems where there is a small parameter in the higher derivatives. We are concerned with the behaviour of solutions with respect to the parameter and for large values of the independent variable.
Asymptotic Methods in the Theory of Linear Differential Equations
Language: en
Pages: 270
Authors: Stepan Fedorovich Feshchenko
Categories: Asymptotic expansions
Type: BOOK - Published: 1967 - Publisher:
Books about Asymptotic Methods in the Theory of Linear Differential Equations
Numerical Integration of Asymptotic Solutions of Ordinary Differential Equations
Language: en
Pages: 44
Authors: Gaylen A. Thurston
Categories: Asymptotic expansions
Type: BOOK - Published: 1989 - Publisher:
Books about Numerical Integration of Asymptotic Solutions of Ordinary Differential Equations
Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
Language: en
Pages: 231
Authors: P.L. Sachdev, Ch. Srinivasa Rao
Categories: Mathematics
Type: BOOK - Published: 2009-10-29 - Publisher: Springer Science & Business Media
A large number of physical phenomena are modeled by nonlinear partial differential equations, subject to appropriate initial/ boundary conditions; these equations, in general, do not admit exact solution. The present monograph gives constructive mathematical techniques which bring out large time behavior of solutions of these model equations. These approaches, in
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
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 Treatment of Differential Equations
Language: en
Pages: 272
Authors: A. Georgescu
Categories: Mathematics
Type: BOOK - Published: 1995-05-15 - Publisher: CRC Press
The main definitions and results of asymptotic analysis and the theory of regular and singular perturbations are summarized in this book. They are applied to the asymptotic study of several mathematical models from mechanics, fluid dynamics, statistical mechanics, meteorology and elasticity. Due to the generality of presentation this applications-oriented book
Asymptotic Integration of Differential and Difference Equations
Language: en
Pages: 402
Authors: Sigrun Bodine, Donald A. Lutz
Categories: Mathematics
Type: BOOK - Published: 2015-05-26 - Publisher: Springer
This book presents the theory of asymptotic integration for both linear differential and difference equations. This type of asymptotic analysis is based on some fundamental principles by Norman Levinson. While he applied them to a special class of differential equations, subsequent work has shown that the same principles lead to
Qualitative and Asymptotic Analysis of Differential Equations with Random Perturbations
Language: en
Pages: 324
Authors: Anatoliy M Samoilenko, Oleksandr Stanzhytskyi
Categories: Mathematics
Type: BOOK - Published: 2011-06-07 - Publisher: World Scientific
Differential equations with random perturbations are the mathematical models of real-world processes that cannot be described via deterministic laws, and their evolution depends on random factors. The modern theory of differential equations with random perturbations is on the edge of two mathematical disciplines: random processes and ordinary differential equations. Consequently,