skip to content
An introduction to ordinary differential equations Preview this item
ClosePreview this item
Checking...

An introduction to ordinary differential equations

Author: Ravi P Agarwal; Donal O'Regan
Publisher: New York : Springer, 2008.
Series: Universitext.
Edition/Format:   Print book : EnglishView all editions and formats
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.
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Ravi P Agarwal; Donal O'Regan
ISBN: 0387712755 9780387712758 0387712763 9780387712765
OCLC Number: 181090518
Description: xii, 321 pages : illustrations ; 24 cm.
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.
Series Title: Universitext.
Responsibility: Ravi P. Agarwal, Donal O'Regan.
More information:

Abstract:

Ordinary differential equations serve as mathematical models for many exciting real world problems. This textbook organizes material around theorems and proofs, comprising of 42 class-tested lectures  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews:"Presents a thorough treatment of the classical material traditionally covered in an advanced book on ordinary differential equations, including a number of interesting historical Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/181090518> # An introduction to ordinary differential equations
    a schema:CreativeWork, schema:Book ;
   library:oclcnum "181090518" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/nyu> ;
   library:placeOfPublication <http://dbpedia.org/resource/New_York_City> ; # New York
   schema:about <http://experiment.worldcat.org/entity/work/data/116497543#Topic/equations_differentielles> ; # Équations différentielles
   schema:about <http://experiment.worldcat.org/entity/work/data/116497543#Topic/ordinara_differentialekvationer> ; # Ordinära differentialekvationer
   schema:about <http://experiment.worldcat.org/entity/work/data/116497543#Topic/gewohnliche_differentialgleichung> ; # Gewöhnliche Differentialgleichung
   schema:about <http://dewey.info/class/515.352/e22/> ;
   schema:about <http://id.worldcat.org/fast/893446> ; # Differential equations
   schema:bookFormat bgn:PrintBook ;
   schema:contributor <http://viaf.org/viaf/34559695> ; # Donal O'Regan
   schema:creator <http://viaf.org/viaf/14845158> ; # Ravi P. Agarwal
   schema:datePublished "2008" ;
   schema:description "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."@en ;
   schema:description "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."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/116497543> ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/116497543#Series/universitext> ; # Universitext.
   schema:name "An introduction to ordinary differential equations"@en ;
   schema:productID "181090518" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/181090518#PublicationEvent/new_york_springer_2008> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/116497543#Agent/springer> ; # Springer
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016397707&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=016397707&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:url <http://catdir.loc.gov/catdir/toc/fy1001/2007935982.html> ;
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=016397707&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:url <http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016397707&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA> ;
   schema:workExample <http://worldcat.org/isbn/9780387712758> ;
   schema:workExample <http://worldcat.org/isbn/9780387712765> ;
   umbel:isLike <http://bnb.data.bl.uk/id/resource/GBA815273> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/181090518> ;
    .


Related Entities

<http://dbpedia.org/resource/New_York_City> # New York
    a schema:Place ;
   schema:name "New York" ;
    .

<http://experiment.worldcat.org/entity/work/data/116497543#Series/universitext> # Universitext.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/181090518> ; # An introduction to ordinary differential equations
   schema:name "Universitext." ;
   schema:name "Universitext" ;
    .

<http://experiment.worldcat.org/entity/work/data/116497543#Topic/equations_differentielles> # Équations différentielles
    a schema:Intangible ;
   schema:name "Équations différentielles"@fr ;
    .

<http://experiment.worldcat.org/entity/work/data/116497543#Topic/gewohnliche_differentialgleichung> # Gewöhnliche Differentialgleichung
    a schema:Intangible ;
   schema:name "Gewöhnliche Differentialgleichung"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/116497543#Topic/ordinara_differentialekvationer> # Ordinära differentialekvationer
    a schema:Intangible ;
   schema:name "Ordinära differentialekvationer"@en ;
    .

<http://id.worldcat.org/fast/893446> # Differential equations
    a schema:Intangible ;
   schema:name "Differential equations"@en ;
    .

<http://viaf.org/viaf/14845158> # Ravi P. Agarwal
    a schema:Person ;
   schema:familyName "Agarwal" ;
   schema:givenName "Ravi P." ;
   schema:name "Ravi P. Agarwal" ;
    .

<http://viaf.org/viaf/34559695> # Donal O'Regan
    a schema:Person ;
   schema:familyName "O'Regan" ;
   schema:givenName "Donal" ;
   schema:name "Donal O'Regan" ;
    .

<http://worldcat.org/isbn/9780387712758>
    a schema:ProductModel ;
   schema:isbn "0387712755" ;
   schema:isbn "9780387712758" ;
    .

<http://worldcat.org/isbn/9780387712765>
    a schema:ProductModel ;
   schema:isbn "0387712763" ;
   schema:isbn "9780387712765" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.