MARC details
| 000 -LEADER |
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05676nam a22004575i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
978-0-387-71276-5 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250710084012.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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100301s2008 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780387712765 |
| -- |
99780387712765 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-0-387-71276-5 |
| Source of number or code |
doi |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Agarwal, Ravi P. |
| Relator term |
author. |
| 245 13 - TITLE STATEMENT |
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| Title |
An Introduction to Ordinary Differential Equations |
| Medium |
[recurso electrónico] / |
| Statement of responsibility, etc. |
by Ravi P. Agarwal, Donal O'Regan. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Place of production, publication, distribution, manufacture |
New York, NY : |
| Name of producer, publisher, distributor, manufacturer |
Springer New York, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2008. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
recurso en línea |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Universitext |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Historical Notes -- Exact Equations -- Elementary First-Order Equations -- First-Order Linear Equations -- Second-Order Linera Equations -- Preliminaries to Existence and Uniqueness of Solutions -- Picard's Method of Successive Approximations -- Existence Theorems -- Uniqueness Theorems -- Differential Inequalities -- Continuous Dependence on Initial Conditions -- Preliminary Results from Algebra and Analysis -- Preliminary Results from Algebra and Analysis (Contd.) -- Existence and Uniqueness of Solutions of Systems -- Existence and Uniqueness of Solutions of Systems (Contd.) -- General Properties of Linear Systems -- Fundamental Matrix Solution -- Systems with Constant Coefficients -- Periodic Linear Systems -- Asymptotic Behavior of Solutions of Linear Systems -- Asymptotic Behavior of Solutions of Linear Systems (Contd.) -- Preliminaries to Stability of Solutions -- Stability of Quasi-Linear Systems -- Two-Dimensional Autonomous Systems -- Two-Dimensional Autonomous Systems (Contd.) -- Limit Cycles and Periodic Solutions -- Lyapunov's Direct Method for Autonomous Systems -- Lyapunov's Direct Method for Nonautonomous Systems -- Higher-Order Exact and Adjoint Equations -- Oscillatory Equations -- Linear Boundary Value Problems -- Green's Functions -- Degenerate Linear Boundary Value Problems -- Maximum Principles -- Sturm-Liouville Problems -- Sturm-Liouville Problems (Contd.) -- Eigenfunction Expansions -- Eigenfunction Expansions (Contd.) -- Nonlinear Boundary Value Problems -- Nonlinear Boundary Value Problems (Contd.) -- Topics for Further Studies. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This textbook provides a rigorous and lucid introduction to the theory of ordinary differential equations (ODEs), which serve as mathematical models for many exciting real-world problems in science, engineering, and other disciplines. Key Features of this textbook: Effectively organizes the subject into easily manageable sections in the form of 42 class-tested lectures Provides a theoretical treatment by organizing the material around theorems and proofs Uses detailed examples to drive the presentation Includes numerous exercise sets that encourage pursuing extensions of the material, each with an "answers or hints" section Covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics Provides excellent grounding and inspiration for future research contributions to the field of ODEs and related areas This book is ideal for a senior undergraduate or a graduate-level course on ordinary differential equations. Prerequisites include a course in calculus. Series: Universitext Ravi P. Agarwal received his Ph.D. in mathematics from the Indian Institute of Technology, Madras, India. He is a professor of mathematics at the Florida Institute of Technology. His research interests include numerical analysis, inequalities, fixed point theorems, and differential and difference equations. He is the author/co-author of over 800 journal articles and more than 20 books, and actively contributes to over 40 journals and book series in various capacities. Donal O'Regan received his Ph.D. in mathematics from Oregon State University, Oregon, U.S.A. He is a professor of mathematics at the National University of Ireland, Galway. He is the author/co-author of 14 books and has published over 650 papers on fixed point theory, operator, integral, differential and difference equations. He serves on the editorial board of many mathematical journals. Previously, the authors have co-authored/co-edited the following books with Springer: Infinite Interval Problems for Differential, Difference and Integral Equations; Singular Differential and Integral Equations with Applications; Nonlinear Analysis and Applications: To V. Lakshmikanthan on his 80th Birthday. In addition, they have collaborated with others on the following titles: Positive Solutions of Differential, Difference and Integral Equations; Oscillation Theory for Difference and Functional Differential Equations; Oscillation Theory for Second Order Linear, Half-Linear, Superlinear and Sublinear Dynamic Equations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
MATHEMATICS. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
DIFFERENTIAL EQUATIONS. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
DIFFERENTIAL EQUATIONS, PARTIAL. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
ENGINEERING MATHEMATICS. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
MATHEMATICS. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
ORDINARY DIFFERENTIAL EQUATIONS. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
PARTIAL DIFFERENTIAL EQUATIONS. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
APPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
O'Regan, Donal. |
| Relator term |
author. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
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| Relationship information |
Printed edition: |
| International Standard Book Number |
9780387712758 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Universitext |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="http://dx.doi.org/10.1007/978-0-387-71276-5">http://dx.doi.org/10.1007/978-0-387-71276-5</a> |
| Public note |
Ver el texto completo en las instalaciones del CICY |
| 912 ## - |
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| -- |
ZDB-2-SMA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Libros electrónicos |
