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The Resource An introduction to ordinary differential equations, Ravi P. Agarwal, Donal O'Regan

An introduction to ordinary differential equations, Ravi P. Agarwal, Donal O'Regan

Label
An introduction to ordinary differential equations
Title
An introduction to ordinary differential equations
Statement of responsibility
Ravi P. Agarwal, Donal O'Regan
Creator
Contributor
Subject
Language
eng
Summary
  • This textbook provides a rigorous & lucid introduction to the theory of ordinary differential equations, which serve as mathematical models for many exciting real-world problems in science, engineering, and other disciplines
  • "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. This book is ideal for a senior undergraduate or a graduate-level course on ordinary differential equations. Prerequisites include a course in calculus."--BOOK JACKET
Member of
Cataloging source
UKM
http://library.link/vocab/creatorName
Agarwal, Ravi P
Dewey number
515.352
Illustrations
illustrations
Index
index present
LC call number
QA372
LC item number
.A34 2008
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
O'Regan, Donal
Series statement
Universitext
http://library.link/vocab/subjectName
  • Differential equations
  • Équations différentielles
Label
An introduction to ordinary differential equations, Ravi P. Agarwal, Donal O'Regan
Instantiates
Publication
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Historical notes -- Exact equations -- Elementary first-order equations -- First-order linear equations -- Second-order linear 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 -- Existence and uniqueness of solutions of systems -- General properties of linear systems -- Fundamental matrix solution -- System with constant coefficients -- Periodic linear systems -- Asymptotic behavior of solutions of linear systems -- Preliminaries to stability of solutions -- Stability of Quasi-linear systems -- Two-dimensional autonomous systems -- Limit cycles and periodic solutions -- Lyapunov's direct method for autonomous 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 -- Eigenfunction expansions -- Nonlinear boundary value problems -- Topics for further studies
Control code
181090518
Dimensions
24 cm
Extent
xii, 321 pages
Isbn
9780387712758
Isbn Type
(pbk.)
Lccn
2007935982
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)181090518
Label
An introduction to ordinary differential equations, Ravi P. Agarwal, Donal O'Regan
Publication
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Historical notes -- Exact equations -- Elementary first-order equations -- First-order linear equations -- Second-order linear 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 -- Existence and uniqueness of solutions of systems -- General properties of linear systems -- Fundamental matrix solution -- System with constant coefficients -- Periodic linear systems -- Asymptotic behavior of solutions of linear systems -- Preliminaries to stability of solutions -- Stability of Quasi-linear systems -- Two-dimensional autonomous systems -- Limit cycles and periodic solutions -- Lyapunov's direct method for autonomous 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 -- Eigenfunction expansions -- Nonlinear boundary value problems -- Topics for further studies
Control code
181090518
Dimensions
24 cm
Extent
xii, 321 pages
Isbn
9780387712758
Isbn Type
(pbk.)
Lccn
2007935982
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)181090518

Library Locations

    • Mathematical Sciences LibraryBorrow it
      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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