Asymptotic Integration Of Differential And Difference Equations eBook Download PDF

Download Asymptotic Integration Of Differential And Difference Equations full books in PDF, epub, and Kindle. Read online Asymptotic Integration Of Differential And Difference Equations ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Asymptotic Integration of Differential and Difference Equations

Author: Sigrun Bodine

Publisher: Springer

Published: 2015-05-26

Total Pages: 402

ISBN-13: 331918248X

DOWNLOAD EBOOK

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 asymptotic results for much wider classes of differential and also difference equations. After discussing asymptotic integration in a unified approach, this book studies how the application of these methods provides several new insights and frequent improvements to results found in earlier literature. It then continues with a brief introduction to the relatively new field of asymptotic integration for dynamic equations on time scales. Asymptotic Integration of Differential and Difference Equations is a self-contained and clearly structured presentation of some of the most important results in asymptotic integration and the techniques used in this field. It will appeal to researchers in asymptotic integration as well to non-experts who are interested in the asymptotic analysis of linear differential and difference equations. It will additionally be of interest to students in mathematics, applied sciences, and engineering. Linear algebra and some basic concepts from advanced calculus are prerequisites.

Book Synopsis Asymptotic Integration of Differential and Difference Equations by : Sigrun Bodine

Download or read book Asymptotic Integration of Differential and Difference Equations written by Sigrun Bodine and published by Springer. This book was released on 2015-05-26 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 asymptotic results for much wider classes of differential and also difference equations. After discussing asymptotic integration in a unified approach, this book studies how the application of these methods provides several new insights and frequent improvements to results found in earlier literature. It then continues with a brief introduction to the relatively new field of asymptotic integration for dynamic equations on time scales. Asymptotic Integration of Differential and Difference Equations is a self-contained and clearly structured presentation of some of the most important results in asymptotic integration and the techniques used in this field. It will appeal to researchers in asymptotic integration as well to non-experts who are interested in the asymptotic analysis of linear differential and difference equations. It will additionally be of interest to students in mathematics, applied sciences, and engineering. Linear algebra and some basic concepts from advanced calculus are prerequisites.

Asymptotic Behavior of Solutions of Differential-Difference Equations

Author: Richard Bellman

Publisher: American Mathematical Soc.

Published: 1959

Total Pages: 99

ISBN-13: 0821812351

DOWNLOAD EBOOK

Book Synopsis Asymptotic Behavior of Solutions of Differential-Difference Equations by : Richard Bellman

Download or read book Asymptotic Behavior of Solutions of Differential-Difference Equations written by Richard Bellman and published by American Mathematical Soc.. This book was released on 1959 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Analysis of Differential Equations

Author: R. B. White

Publisher: World Scientific

Published: 2010

Total Pages: 430

ISBN-13: 1848166079

DOWNLOAD EBOOK

"This is a useful volume in which a wide selection of asymptotic techniques is clearly presented in a form suitable for both applied mathematicians and Physicists who require an introduction to asymptotic techniques." --Book Jacket.

Book Synopsis Asymptotic Analysis of Differential Equations by : R. B. White

Download or read book Asymptotic Analysis of Differential Equations written by R. B. White and published by World Scientific. This book was released on 2010 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a useful volume in which a wide selection of asymptotic techniques is clearly presented in a form suitable for both applied mathematicians and Physicists who require an introduction to asymptotic techniques." --Book Jacket.

Asymptotic Expansions for Ordinary Differential Equations

Author: Wolfgang Wasow

Publisher: Courier Dover Publications

Published: 2018-03-21

Total Pages: 385

ISBN-13: 0486824586

DOWNLOAD EBOOK

This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.

Book Synopsis Asymptotic Expansions for Ordinary Differential Equations by : Wolfgang Wasow

Download or read book Asymptotic Expansions for Ordinary Differential Equations written by Wolfgang Wasow and published by Courier Dover Publications. This book was released on 2018-03-21 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.

Asymptotic Behavior of Solutions of Differential-difference Equations

Author:

Publisher:

Published: 1958

Total Pages: 76

ISBN-13:

DOWNLOAD EBOOK

In this paper, the problem was considered of determining the asymptotic behavior of solutions of linear differentialdifference equations whose coefficients possess asymptotic series. Although the problem is considerably more complicated than the corresponding problem for ordinary differential equations, by means of a sequence of transformations the problem was reduced to a form where the standard techniques of ordinary differential equation theory could be employed. The differential-difference equation was transformed into an integral equation which was trans formed into an integro-differential equation. At this point the Liouville transformation plays a vital role. Although the guiding ideas were simple, the analysis became formidable. For this reason, only some of the more immediate aspects of the problem were considered.

Book Synopsis Asymptotic Behavior of Solutions of Differential-difference Equations by :

Download or read book Asymptotic Behavior of Solutions of Differential-difference Equations written by and published by . This book was released on 1958 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the problem was considered of determining the asymptotic behavior of solutions of linear differentialdifference equations whose coefficients possess asymptotic series. Although the problem is considerably more complicated than the corresponding problem for ordinary differential equations, by means of a sequence of transformations the problem was reduced to a form where the standard techniques of ordinary differential equation theory could be employed. The differential-difference equation was transformed into an integral equation which was trans formed into an integro-differential equation. At this point the Liouville transformation plays a vital role. Although the guiding ideas were simple, the analysis became formidable. For this reason, only some of the more immediate aspects of the problem were considered.

Asymptotic Integration And Stability: For Ordinary, Functional And Discrete Differential Equations Of Fractional Order

Author: Dumitru Baleanu

Publisher: World Scientific

Published: 2015-01-15

Total Pages: 209

ISBN-13: 9814641111

DOWNLOAD EBOOK

This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner. It deals with new results on existence, uniqueness and multiplicity, smoothness, asymptotic development, and stability of solutions. The new topics in the field of fractional calculus include also the Mittag-Leffler and Razumikhin stability, stability of a class of discrete fractional non-autonomous systems, asymptotic integration with a priori given coefficients, intervals of disconjugacy (non-oscillation), existence of Lp solutions for various linear, and nonlinear fractional differential equations.

Book Synopsis Asymptotic Integration And Stability: For Ordinary, Functional And Discrete Differential Equations Of Fractional Order by : Dumitru Baleanu

Download or read book Asymptotic Integration And Stability: For Ordinary, Functional And Discrete Differential Equations Of Fractional Order written by Dumitru Baleanu and published by World Scientific. This book was released on 2015-01-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner. It deals with new results on existence, uniqueness and multiplicity, smoothness, asymptotic development, and stability of solutions. The new topics in the field of fractional calculus include also the Mittag-Leffler and Razumikhin stability, stability of a class of discrete fractional non-autonomous systems, asymptotic integration with a priori given coefficients, intervals of disconjugacy (non-oscillation), existence of Lp solutions for various linear, and nonlinear fractional differential equations.

Introduction to Asymptotics and Special Functions

Author: F. W. J. Olver

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 312

ISBN-13: 1483267083

DOWNLOAD EBOOK

Introduction to Asymptotics and Special Functions is a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable are discussed, along with contour integrals and differential equations with regular and irregular singularities. The Liouville-Green approximation is also considered. Comprised of seven chapters, this volume begins with an overview of the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on integrals of a real variable. Contour integrals are then examined, paying particular attention to Laplace integrals with a complex parameter and Bessel functions of large argument and order. Subsequent chapters focus on differential equations having regular and irregular singularities, with emphasis on Legendre functions as well as Bessel and confluent hypergeometric functions. A chapter devoted to the Liouville-Green approximation tackles asymptotic properties with respect to parameters and to the independent variable, eigenvalue problems, and theorems on singular integral equations. This monograph is intended for students needing only an introductory course to asymptotics and special functions.

Book Synopsis Introduction to Asymptotics and Special Functions by : F. W. J. Olver

Download or read book Introduction to Asymptotics and Special Functions written by F. W. J. Olver and published by Academic Press. This book was released on 2014-05-10 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Asymptotics and Special Functions is a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable are discussed, along with contour integrals and differential equations with regular and irregular singularities. The Liouville-Green approximation is also considered. Comprised of seven chapters, this volume begins with an overview of the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on integrals of a real variable. Contour integrals are then examined, paying particular attention to Laplace integrals with a complex parameter and Bessel functions of large argument and order. Subsequent chapters focus on differential equations having regular and irregular singularities, with emphasis on Legendre functions as well as Bessel and confluent hypergeometric functions. A chapter devoted to the Liouville-Green approximation tackles asymptotic properties with respect to parameters and to the independent variable, eigenvalue problems, and theorems on singular integral equations. This monograph is intended for students needing only an introductory course to asymptotics and special functions.

Asymptotics of High Order Differential Equations

Author: R. B. Paris

Publisher: Longman

Published: 1986

Total Pages: 364

ISBN-13:

DOWNLOAD EBOOK

Book Synopsis Asymptotics of High Order Differential Equations by : R. B. Paris

Download or read book Asymptotics of High Order Differential Equations written by R. B. Paris and published by Longman. This book was released on 1986 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Asymptotic Treatment of Differential Equations

Author: A. Georgescu

Publisher: CRC Press

Published: 1995-05-15

Total Pages: 282

ISBN-13: 9780412558603

DOWNLOAD EBOOK

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 is suitable for the solving of differential equations from any other field of interest.

Book Synopsis Asymptotic Treatment of Differential Equations by : A. Georgescu

Download or read book Asymptotic Treatment of Differential Equations written by A. Georgescu and published by CRC Press. This book was released on 1995-05-15 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 is suitable for the solving of differential equations from any other field of interest.

Asymptotic Integration Algorithms for Nonhomogeneous, Nonlinear, First Order, Ordinary Differential Equations

Author:

Publisher:

Published: 1991

Total Pages: 46

ISBN-13:

DOWNLOAD EBOOK

Book Synopsis Asymptotic Integration Algorithms for Nonhomogeneous, Nonlinear, First Order, Ordinary Differential Equations by :

Download or read book Asymptotic Integration Algorithms for Nonhomogeneous, Nonlinear, First Order, Ordinary Differential Equations written by and published by . This book was released on 1991 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt: