The Resource Ordinary differential equations, Philip Hartman, (electronic resource)

Ordinary differential equations, Philip Hartman, (electronic resource)

Label
Ordinary differential equations
Title
Ordinary differential equations
Statement of responsibility
Philip Hartman
Creator
Contributor
Publisher
Subject
Language
eng
Summary
Ordinary Differential Equations covers the fundamentals of the theory of ordinary differential equations (ODEs), including an extensive discussion of the integration of differential inequalities, on which this theory relies heavily. In addition to these results, the text illustrates techniques involving simple topological arguments, fixed point theorems, and basic facts of functional analysis. Unlike many texts, which supply only the standard simplified theorems, this book presents the basic theory of ODEs in a general way. This SIAM reissue of the 1982 second edition covers invariant manifolds, perturbations, and dichotomies, making the text relevant to current studies of geometrical theory of differential equations and dynamical systems. In particular, Ordinary Differential Equations includes the proof of the Hartman-Grobman theorem on the equivalence of a nonlinear to a linear flow in the neighborhood of a hyperbolic stationary point, as well as theorems on smooth equivalences, the smoothness of invariant manifolds, and the reduction of problems on ODEs to those on "maps" (Poincaré). Audience: readers should have knowledge of matrix theory and the ability to deal with functions of real variables
Member of
Cataloging source
CaBNvSL
http://library.link/vocab/creatorDate
1915-
http://library.link/vocab/creatorName
Hartman, Philip
Illustrations
illustrations
Index
index present
LC call number
QA372
LC item number
.H33 2002eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
Society for Industrial and Applied Mathematics
Series statement
Classics in applied mathematics
Series volume
38
http://library.link/vocab/subjectName
Differential equations
Target audience
  • adult
  • specialized
Label
Ordinary differential equations, Philip Hartman, (electronic resource)
Instantiates
Publication
Note
This SIAM edition is an unabridged, corrected republication of the edition published by Birkhäuser, Boston, Basel, Stuttgart, 1982. The original edition was published by John Wiley & Sons, New York, 1964
Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
Preliminaries -- Existence -- Differential inequalities and uniqueness -- Linear differential equations -- Dependence on initial conditions and parameters -- Total and partial differential equations -- The Poincaré-Bendixson theory -- Plane stationary points -- Invariant manifolds and linearizations -- Perturbed linear systems -- Linear second order equations -- Use of implicity function and fixed point theorems -- Dichotomies for solutions of linear equations -- Miscellany on monotomy
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource
File format
multiple file formats
Form of item
online
Isbn
9780898719222
Other control number
CL38
Reformatting quality
access
Specific material designation
remote
System control number
  • (CaBNvSL)gtp00544248
  • (CaBNvSL)9780898719222
Label
Ordinary differential equations, Philip Hartman, (electronic resource)
Publication
Note
This SIAM edition is an unabridged, corrected republication of the edition published by Birkhäuser, Boston, Basel, Stuttgart, 1982. The original edition was published by John Wiley & Sons, New York, 1964
Bibliography note
Includes bibliographical references and index
Color
black and white
Contents
Preliminaries -- Existence -- Differential inequalities and uniqueness -- Linear differential equations -- Dependence on initial conditions and parameters -- Total and partial differential equations -- The Poincaré-Bendixson theory -- Plane stationary points -- Invariant manifolds and linearizations -- Perturbed linear systems -- Linear second order equations -- Use of implicity function and fixed point theorems -- Dichotomies for solutions of linear equations -- Miscellany on monotomy
Dimensions
unknown
Edition
2nd ed.
Extent
1 online resource
File format
multiple file formats
Form of item
online
Isbn
9780898719222
Other control number
CL38
Reformatting quality
access
Specific material designation
remote
System control number
  • (CaBNvSL)gtp00544248
  • (CaBNvSL)9780898719222

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