An Introduction to Ordinary Differential Equations by Ravi P. Agarwal, Donal O'Regan.
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. Key Features of this textbook: Effectively organizes the subject...
Saved in:
Main Authors:  , 

Corporate Author:  
Format:  eBook 
Language:  English 
Published: 
New York, NY :
Springer New York : Imprint: Springer,
2008.

Edition:  1st ed. 2008. 
Series:  Universitext,
Springer eBook Collection. 
Subjects:  
Online Access:  Click to view ebook 
Holy Cross Note:  Loaded electronically. Electronic access restricted to members of the Holy Cross Community. 
LEADER  06538nam a22005895i 4500  

001  b3302916  
003  MWH  
005  20191022072727.0  
007  cr nn 008mamaa  
008  100301s2008 xxu s  0eng d  
020  a 9780387712765  
024  7  a 10.1007/9780387712765 2 doi  
035  a (DEHe213)9780387712765  
050  4  a EBook  
072  7  a PBKJ 2 bicssc  
072  7  a MAT007000 2 bisacsh  
072  7  a PBKJ 2 thema  
100  1  a Agarwal, Ravi P. e author. 4 aut 4 http://id.loc.gov/vocabulary/relators/aut  
245  1  3  a An Introduction to Ordinary Differential Equations h [electronic resource] / c by Ravi P. Agarwal, Donal O'Regan. 
250  a 1st ed. 2008.  
264  1  a New York, NY : b Springer New York : b Imprint: Springer, c 2008.  
300  a XII, 322 p. 8 illus. b online resource.  
336  a text b txt 2 rdacontent  
337  a computer b c 2 rdamedia  
338  a online resource b cr 2 rdacarrier  
347  a text file b PDF 2 rda  
490  1  a Universitext, x 01725939  
490  1  a Springer eBook Collection  
505  0  a Historical Notes  Exact Equations  Elementary FirstOrder Equations  FirstOrder Linear Equations  SecondOrder Linera Equations  Preliminaries to Existence and Uniqueness of Solutions  Picard#x0027;s Method of Successive Approximations  Existence Theorems  Uniqueness Theorems  Differential Inequalities  Continuous Dependence on Initial Conditions  Preliminary Results from Algebra and Analysis  Preliminary Results from Algebra and Analysis (Contd.)  Existence and Uniqueness of Solutions of Systems  Existence and Uniqueness of Solutions of Systems (Contd.)  General Properties of Linear Systems  Fundamental Matrix Solution  Systems with Constant Coefficients  Periodic Linear Systems  Asymptotic Behavior of Solutions of Linear Systems  Asymptotic Behavior of Solutions of Linear Systems (Contd.)  Preliminaries to Stability of Solutions  Stability of QuasiLinear Systems  TwoDimensional Autonomous Systems  TwoDimensional Autonomous Systems (Contd.)  Limit Cycles and Periodic Solutions  Lyapunov#x0027;s Direct Method for Autonomous Systems  Lyapunov#x0027;s Direct Method for Nonautonomous Systems  HigherOrder Exact and Adjoint Equations  Oscillatory Equations  Linear Boundary Value Problems  Green#x0027;s Functions  Degenerate Linear Boundary Value Problems  Maximum Principles  Sturm#x2014;Liouville Problems  Sturm#x2013;Liouville Problems (Contd.)  Eigenfunction Expansions  Eigenfunction Expansions (Contd.)  Nonlinear Boundary Value Problems  Nonlinear Boundary Value Problems (Contd.)  Topics for Further Studies.  
520  a 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. Key Features of this textbook: Effectively organizes the subject into easily manageable sections in the form of 42 classtested lectures Provides a theoretical treatment by organizing the material around theorems and proofs Uses detailed examples to drive the presentation Includes numerous exercise sets that encourage pursuing extensions of the material, each with an "answers or hints" section Covers an array of advanced topics which allow for flexibility in developing the subject beyond the basics Provides excellent grounding and inspiration for future research contributions to the field of ODEs and related areas This book is ideal for a senior undergraduate or a graduatelevel course on ordinary differential equations. Prerequisites include a course in calculus. Series: Universitext Ravi P. Agarwal received his Ph.D. in mathematics from the Indian Institute of Technology, Madras, India. He is a professor of mathematics at the Florida Institute of Technology. His research interests include numerical analysis, inequalities, fixed point theorems, and differential and difference equations. He is the author/coauthor of over 800 journal articles and more than 20 books, and actively contributes to over 40 journals and book series in various capacities. Donal O’Regan received his Ph.D. in mathematics from Oregon State University, Oregon, U.S.A. He is a professor of mathematics at the National University of Ireland, Galway. He is the author/coauthor of 14 books and has published over 650 papers on fixed point theory, operator, integral, differential and difference equations. He serves on the editorial board of many mathematical journals. Previously, the authors have coauthored/coedited the following books with Springer: Infinite Interval Problems for Differential, Difference and Integral Equations; Singular Differential and Integral Equations with Applications; Nonlinear Analysis and Applications: To V. Lakshmikanthan on his 80th Birthday. In addition, they have collaborated with others on the following titles: Positive Solutions of Differential, Difference and Integral Equations; Oscillation Theory for Difference and Functional Differential Equations; Oscillation Theory for Second Order Linear, HalfLinear, Superlinear and Sublinear Dynamic Equations.  
590  a Loaded electronically.  
590  a Electronic access restricted to members of the Holy Cross Community.  
650  0  a Differential equations.  
650  0  a Partial differential equations.  
650  0  a Applied mathematics.  
650  0  a Engineering mathematics.  
690  a Electronic resources (Ebooks)  
700  1  a O'Regan, Donal. e author. 4 aut 4 http://id.loc.gov/vocabulary/relators/aut  
710  2  a SpringerLink (Online service)  
773  0  t Springer eBooks  
830  0  a Universitext, x 01725939  
830  0  a Springer eBook Collection.  
856  4  0  u https://holycross.idm.oclc.org/login?auth=cas&url=https://doi.org/10.1007/9780387712765 3 Click to view ebook 
907  a .b33029167 b 041822 c 022620  
998  a he b 022620 c m d @ e  f eng g xxu h 3 i 1  
912  a ZDB2SMA  
950  a Mathematics and Statistics (Springer11649)  
902  a springer purchased ebooks  
903  a SEBCOLL  
945  f   g 1 h 0 j   k   l he o  p $0.00 q  r  s b t 38 u 0 v 0 w 0 x 0 y .i22160784 z 022620  
999  f  f  i 671454d9d9e558338fed3cd37950caf7 s c3030c330e595a0d8deb3294dfa8e6c0 
952  f  f  p Online a College of the Holy Cross b Main Campus c EResources d Eresources e EBook h Library of Congress classification i Elec File n 1 