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
Resource Information
The item An introduction to ordinary differential equations, Ravi P. Agarwal, Donal O'Regan represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item An introduction to ordinary differential equations, Ravi P. Agarwal, Donal O'Regan represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary

 This textbook provides a rigorous & lucid introduction to the theory of ordinary differential equations, which serve as mathematical models for many exciting realworld 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 realworld problems in science, engineering, and other disciplines. This book is ideal for a senior undergraduate or a graduatelevel course on ordinary differential equations. Prerequisites include a course in calculus."BOOK JACKET
 Language
 eng
 Extent
 xii, 321 pages
 Contents

 Introduction
 Historical notes
 Exact equations
 Elementary firstorder equations
 Firstorder linear equations
 Secondorder 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 Quasilinear systems
 Twodimensional autonomous systems
 Limit cycles and periodic solutions
 Lyapunov's direct method for autonomous systems
 Higherorder exact and adjoint equations
 Oscillatory equations
 Linear boundary value problems
 Green's functions
 Degenerate Linear boundary value problems
 Maximum principles
 SturmLiouville problems
 Eigenfunction expansions
 Nonlinear boundary value problems
 Topics for further studies
 Isbn
 9780387712758
 Label
 An introduction to ordinary differential equations
 Title
 An introduction to ordinary differential equations
 Statement of responsibility
 Ravi P. Agarwal, Donal O'Regan
 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 realworld 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 realworld problems in science, engineering, and other disciplines. This book is ideal for a senior undergraduate or a graduatelevel course on ordinary differential equations. Prerequisites include a course in calculus."BOOK JACKET
 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
 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 firstorder equations  Firstorder linear equations  Secondorder 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 Quasilinear systems  Twodimensional autonomous systems  Limit cycles and periodic solutions  Lyapunov's direct method for autonomous systems  Higherorder exact and adjoint equations  Oscillatory equations  Linear boundary value problems  Green's functions  Degenerate Linear boundary value problems  Maximum principles  SturmLiouville 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
 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 firstorder equations  Firstorder linear equations  Secondorder 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 Quasilinear systems  Twodimensional autonomous systems  Limit cycles and periodic solutions  Lyapunov's direct method for autonomous systems  Higherorder exact and adjoint equations  Oscillatory equations  Linear boundary value problems  Green's functions  Degenerate Linear boundary value problems  Maximum principles  SturmLiouville 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Anintroductiontoordinarydifferential/gLkRYfonjTE/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Anintroductiontoordinarydifferential/gLkRYfonjTE/">An introduction to ordinary differential equations, Ravi P. Agarwal, Donal O'Regan</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>