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 |