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 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
- Language
- eng
- Extent
- xii, 321 pages
- 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
- 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 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
- 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 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
- 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
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/An-introduction-to-ordinary-differential/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/An-introduction-to-ordinary-differential/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>
