Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Asymptotic integration of differential and difference equations / (Record no. 420427)

MARC details
000 -LEADER
fixed length control field 02777 a2200265 4500
001 - CONTROL NUMBER
control field 136452
003 - CONTROL NUMBER IDENTIFIER
control field ISI Library, Kolkata
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160118121858.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 160118b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319182476
040 ## - CATALOGING SOURCE
Original cataloging agency ISI Library
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.35
Edition number 23
Item number B667
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bodine, Sigrun.
245 10 - TITLE STATEMENT
Title Asymptotic integration of differential and difference equations /
Statement of responsibility, etc Sigrun Bodine and Donald A. Lutz.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Switzerland :
Name of publisher, distributor, etc Springer,
Date of publication, distribution, etc 2015.
300 ## - PHYSICAL DESCRIPTION
Extent xi, 402 p. ;
Dimensions 24 cm.
490 0# - SERIES STATEMENT
Series statement Lecture notes in mathematics ;
Volume number/sequential designation 2129.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Introduction, Notation, and Background --<br/>2. Asymptotic Integration for Differential Systems --<br/>3. Asymptotics for Solutions of Difference Systems --<br/>4. Conditioning Transformations for Differential Systems --<br/>5. Conditioning Transformations for Difference Systems --<br/>6. Perturbations of Jordan Differential Systems --<br/>7. Perturbations of Jordan Difference Systems --<br/>8. Applications to Classes of Scalar Linear Differential Equations --<br/>9. Applications to Classes of Scalar Linear Difference Equations --<br/>10. Asymptotics for Dynamic Equations on Time Scales--<br/>References--<br/>Index.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential equations
General subdivision Asymptotic theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential
General subdivision difference equations.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Lutz, Donald A.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Books
Holdings
Lost status Not for loan Home library Current library Date acquired Cost, normal purchase price Full call number Accession Number Koha item type
    ISI Library, Kolkata ISI Library, Kolkata 05/01/2016 4556.13 515.35 B667 136452 Books
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in