Asymptotics of Linear Differential Equations

Written By M.H. Lantsman
Asymptotics of Linear Differential Equations
  • Publsiher : Springer Science & Business Media
  • Release : 17 April 2013
  • ISBN : 9401597979
  • Pages : 441 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Asymptotics of Linear Differential Equations written by M.H. Lantsman which was release on 17 April 2013, this book published by Springer Science & Business Media. Available in PDF, EPUB and Kindle Format. Book excerpt: 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

Asymptotics of Linear Differential Equations
  • Author : M.H. Lantsman
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-04-17
  • Total pages : 441
  • ISBN : 9401597979
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Summary : 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 ...

Asymptotic Analysis

Asymptotic Analysis
  • Author : Mikhail V. Fedoryuk
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Total pages : 363
  • ISBN : 9401597979
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Summary : 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. ...

Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations

Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations
  • Author : P.L. Sachdev,Ch. Srinivasa Rao
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-10-29
  • Total pages : 231
  • ISBN : 9401597979
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Summary : 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 ...

Numerical Integration of Asymptotic Solutions of Ordinary Differential Equations

Numerical Integration of Asymptotic Solutions of Ordinary Differential Equations
  • Author : Gaylen A. Thurston
  • Publisher : Unknown
  • Release Date : 1989
  • Total pages : 44
  • ISBN : 9401597979
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Summary : Download or read online Numerical Integration of Asymptotic Solutions of Ordinary Differential Equations written by Gaylen A. Thurston, published by which was released on 1989. Get Numerical Integration of Asymptotic Solutions of Ordinary Differential Equations Books now! Available in PDF, ePub and Kindle....

Asymptotic Solution of Ordinary Differential Equations

Asymptotic Solution of Ordinary Differential Equations
  • Author : Nicholas D. Kazarinoff
  • Publisher : Unknown
  • Release Date : 1957
  • Total pages : 5
  • ISBN : 9401597979
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Summary : Download or read online Asymptotic Solution of Ordinary Differential Equations written by Nicholas D. Kazarinoff, published by which was released on 1957. Get Asymptotic Solution of Ordinary Differential Equations Books now! Available in PDF, ePub and Kindle....

Stability and Asymptotic Behavior of Differential Equations

Stability and Asymptotic Behavior of Differential Equations
  • Author : W. A. Coppel
  • Publisher : Unknown
  • Release Date : 1965
  • Total pages : 166
  • ISBN : 9401597979
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Summary : Download or read online Stability and Asymptotic Behavior of Differential Equations written by W. A. Coppel, published by which was released on 1965. Get Stability and Asymptotic Behavior of Differential Equations Books now! Available in PDF, ePub and Kindle....

Asymptotic Expansions for Ordinary Differential Equations

Asymptotic Expansions for Ordinary Differential Equations
  • Author : Wolfgang Wasow
  • Publisher : Courier Corporation
  • Release Date : 2002-01-01
  • Total pages : 374
  • ISBN : 9401597979
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Summary : "A book of great value . . . it should have a profound influence upon future research."--Mathematical Reviews. Hardcover edition. The foundations of the study of asymptotic series in the theory of differential equations were laid by Poincaré in the late 19th century, but it was not until the middle of this ...

Library of Congress Subject Headings

Library of Congress Subject Headings
  • Author : Library of Congress
  • Publisher : Unknown
  • Release Date : 2011
  • Total pages : 212
  • ISBN : 9401597979
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Summary : Download or read online Library of Congress Subject Headings written by Library of Congress, published by which was released on 2011. Get Library of Congress Subject Headings Books now! Available in PDF, ePub and Kindle....

Lectures on Asymptotic Solutions of Ordinary Linear Differential Equations

Lectures on Asymptotic Solutions of Ordinary Linear Differential Equations
  • Author : Arthur Erdélyi
  • Publisher : Unknown
  • Release Date : 1961
  • Total pages : 150
  • ISBN : 9401597979
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Summary : Download or read online Lectures on Asymptotic Solutions of Ordinary Linear Differential Equations written by Arthur Erdélyi, published by which was released on 1961. Get Lectures on Asymptotic Solutions of Ordinary Linear Differential Equations Books now! Available in PDF, ePub and Kindle....

On the Asymptotic Solutions of Linear Differential Equations

On the Asymptotic Solutions of Linear Differential Equations
  • Author : Clyde Elton Love
  • Publisher : Unknown
  • Release Date : 1914
  • Total pages : 166
  • ISBN : 9401597979
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Summary : Download or read online On the Asymptotic Solutions of Linear Differential Equations written by Clyde Elton Love, published by which was released on 1914. Get On the Asymptotic Solutions of Linear Differential Equations Books now! Available in PDF, ePub and Kindle....

On the Asymptotic Solution of the Non homogeneous Linear Differential Equation of the N th Order

On the Asymptotic Solution of the Non homogeneous Linear Differential Equation of the N th Order
  • Author : William Van Nest Garretson
  • Publisher : Unknown
  • Release Date : 1918
  • Total pages : 1
  • ISBN : 9401597979
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Summary : Download or read online On the Asymptotic Solution of the Non homogeneous Linear Differential Equation of the N th Order written by William Van Nest Garretson, published by which was released on 1918. Get On the Asymptotic Solution of the Non homogeneous Linear Differential Equation of the N th Order Books ...

On the Asymptotic Solutions of Ordinary Linear Differential Equations about a Turning Point

On the Asymptotic Solutions of Ordinary Linear Differential Equations about a Turning Point
  • Author : Rudolph Ernest Langer
  • Publisher : Unknown
  • Release Date : 1954
  • Total pages : 34
  • ISBN : 9401597979
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Summary : Download or read online On the Asymptotic Solutions of Ordinary Linear Differential Equations about a Turning Point written by Rudolph Ernest Langer, published by which was released on 1954. Get On the Asymptotic Solutions of Ordinary Linear Differential Equations about a Turning Point Books now! Available in PDF, ePub and Kindle....

Linear Differential Equations of Infinite Order with Constant Coefficients and Asymptotic Periods of Entire Functions

Linear Differential Equations of Infinite Order with Constant Coefficients and Asymptotic Periods of Entire Functions
  • Author : Aleksandr Osipovich Gelʹfond
  • Publisher : Unknown
  • Release Date : 1953
  • Total pages : 31
  • ISBN : 9401597979
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Summary : Download or read online Linear Differential Equations of Infinite Order with Constant Coefficients and Asymptotic Periods of Entire Functions written by Aleksandr Osipovich Gelʹfond, published by which was released on 1953. Get Linear Differential Equations of Infinite Order with Constant Coefficients and Asymptotic Periods of Entire Functions Books now! Available ...

Asymptotic Solutions of Differential Equations and Their Applications

Asymptotic Solutions of Differential Equations and Their Applications
  • Author : Calvin Hayden Wilcox
  • Publisher : Unknown
  • Release Date : 1964
  • Total pages : 249
  • ISBN : 9401597979
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Summary : Download or read online Asymptotic Solutions of Differential Equations and Their Applications written by Calvin Hayden Wilcox, published by which was released on 1964. Get Asymptotic Solutions of Differential Equations and Their Applications Books now! Available in PDF, ePub and Kindle....

Asymptotics of High Order Differential Equations

Asymptotics of High Order Differential Equations
  • Author : R. B. Paris,Alistair D. Wood
  • Publisher : Longman Scientific and Technical
  • Release Date : 1986
  • Total pages : 344
  • ISBN : 9401597979
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Summary : Download or read online Asymptotics of High Order Differential Equations written by R. B. Paris,Alistair D. Wood, published by Longman Scientific and Technical which was released on 1986. Get Asymptotics of High Order Differential Equations Books now! Available in PDF, ePub and Kindle....