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The Resource Ordinary differential equations, Philip Hartman, (electronic resource)
Ordinary differential equations, Philip Hartman, (electronic resource)
Resource Information
The item Ordinary differential equations, Philip Hartman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Ordinary differential equations, Philip Hartman, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 HartmanGrobman 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
 Language
 eng
 Edition
 2nd ed.
 Extent
 1 online resource
 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
 Contents

 Preliminaries
 Existence
 Differential inequalities and uniqueness
 Linear differential equations
 Dependence on initial conditions and parameters
 Total and partial differential equations
 The PoincaréBendixson 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
 Isbn
 9780898719222
 Label
 Ordinary differential equations
 Title
 Ordinary differential equations
 Statement of responsibility
 Philip Hartman
 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 HartmanGrobman 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
 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)
 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 PoincaréBendixson 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)
 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 PoincaréBendixson 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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