The Resource A short course in ordinary differential equations, Qingkai Kong

A short course in ordinary differential equations, Qingkai Kong

Label
A short course in ordinary differential equations
Title
A short course in ordinary differential equations
Statement of responsibility
Qingkai Kong
Creator
Author
Subject
Genre
Language
eng
Summary
This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré?Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm?Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for senior undergraduates as well
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorDate
1946-
http://library.link/vocab/creatorName
Kong, Qingkai
Dewey number
515/.352
Illustrations
illustrations
Index
index present
LC call number
QA371
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Differential equations
  • Differential equations
  • Mathematics
  • Physical Sciences & Mathematics
  • Calculus
  • Mathematics
  • Ordinary Differential Equations
  • Dynamical Systems and Ergodic Theory
Label
A short course in ordinary differential equations, Qingkai Kong
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-11239-8
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Notation and Abbreviations -- 1. Initial Value Problems -- 2. Linear Differential Equations -- 3. Lyapunov Stability Theory -- 4. Dynamic Systems and Planar Autonomous Equations -- 5. Introduction to Bifurcation Theory -- 6. Second-Order Linear Equations -- Answers and Hints -- Bibliography -- Index
Dimensions
unknown
Extent
1 online resource (xii, 267 pages)
File format
unknown
Form of item
online
Isbn
9783319112398
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-11239-8
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)895258119
  • (OCoLC)ocn895258119
Label
A short course in ordinary differential equations, Qingkai Kong
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-11239-8
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- Notation and Abbreviations -- 1. Initial Value Problems -- 2. Linear Differential Equations -- 3. Lyapunov Stability Theory -- 4. Dynamic Systems and Planar Autonomous Equations -- 5. Introduction to Bifurcation Theory -- 6. Second-Order Linear Equations -- Answers and Hints -- Bibliography -- Index
Dimensions
unknown
Extent
1 online resource (xii, 267 pages)
File format
unknown
Form of item
online
Isbn
9783319112398
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-11239-8
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)895258119
  • (OCoLC)ocn895258119

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