MARC details
000 -LEADER |
fixed length control field |
03255nam a22004815i 4500 |
001 - CONTROL NUMBER |
control field |
978-94-91216-25-1 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20160302170415.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
fixed length control field |
cr nn 008mamaa |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
120301s2010 fr | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9789491216251 |
-- |
978-94-91216-25-1 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.2991/978-94-91216-25-1 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA372 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBKJ |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT007000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.352 |
Edition number |
23 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Lakshmikantham, V. |
Relator term |
author. |
245 10 - TITLE STATEMENT |
Title |
Theory of Causal Differential Equations |
Medium |
[electronic resource] / |
Statement of responsibility, etc. |
by V. Lakshmikantham, S. Leela, Zahia Drici, F. A. McRae. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Paris : |
Name of producer, publisher, distributor, manufacturer |
Atlantis Press, |
Date of production, publication, distribution, manufacture, or copyright notice |
2010. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XI, 208 p. |
Other physical details |
online resource. |
336 ## - CONTENT TYPE |
Content type term |
text |
Content type code |
txt |
Source |
rdacontent |
337 ## - MEDIA TYPE |
Media type term |
computer |
Media type code |
c |
Source |
rdamedia |
338 ## - CARRIER TYPE |
Carrier type term |
online resource |
Carrier type code |
cr |
Source |
rdacarrier |
347 ## - DIGITAL FILE CHARACTERISTICS |
File type |
text file |
Encoding format |
PDF |
Source |
rda |
490 1# - SERIES STATEMENT |
Series statement |
Atlantis Studies in Mathematics for Engineering and Science, |
International Standard Serial Number |
1875-7642 ; |
Volume/sequential designation |
5 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Preliminaries -- Basic Theory -- Theoretical ApproximationMethods -- Stability Theory -- Miscellaneous Topics in Causal Systems. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
The problems of modern society are both complex and inter-disciplinary. Despite the - parent diversity of problems, however, often tools developed in one context are adaptable to an entirely different situation. For example, consider the well known Lyapunov’s second method. This interesting and fruitful technique has gained increasing signi?cance and has given decisive impetus for modern development of stability theory of discrete and dynamic system. It is now recognized that the concept of Lyapunov function and theory of diff- ential inequalities can be utilized to investigate qualitative and quantitative properties of a variety of nonlinear problems. Lyapunov function serves as a vehicle to transform a given complicated system into a simpler comparison system. Therefore, it is enough to study the properties of the simpler system to analyze the properties of the complicated system via an appropriate Lyapunov function and the comparison principle. It is in this perspective, the present monograph is dedicated to the investigation of the theory of causal differential equations or differential equations with causal operators, which are nonanticipative or abstract Volterra operators. As we shall see in the ?rst chapter, causal differential equations include a variety of dynamic systems and consequently, the theory developed for CDEs (Causal Differential Equations) in general, covers the theory of several dynamic systems in a single framework. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Differential equations. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Partial differential equations. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Ordinary Differential Equations. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Partial Differential Equations. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Leela, S. |
Relator term |
author. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Drici, Zahia. |
Relator term |
author. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
McRae, F. A. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Atlantis Studies in Mathematics for Engineering and Science, |
International Standard Serial Number |
1875-7642 ; |
Volume number/sequential designation |
5 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="http://dx.doi.org/10.2991/978-94-91216-25-1">http://dx.doi.org/10.2991/978-94-91216-25-1</a> |
912 ## - |
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ZDB-2-SMA |