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An Introduction to Ordinary Differential Equations

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Cover of 'An Introduction to Ordinary Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Historical Notes
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    Chapter 3 Exact Equations
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    Chapter 4 Elementary First-Order Equations
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    Chapter 5 First-Order Linear Equations
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    Chapter 6 Second-Order Linera Equations
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    Chapter 7 Preliminaries to Existence and Uniqueness of Solutions
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    Chapter 8 Picard's Method of Successive Approximations
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    Chapter 9 Existence Theorems
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    Chapter 10 Uniqueness Theorems
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    Chapter 11 Differential Inequalities
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    Chapter 12 Continuous Dependence on Initial Conditions
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    Chapter 13 Preliminary Results from Algebra and Analysis
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    Chapter 14 Preliminary Results from Algebra and Analysis (Contd.)
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    Chapter 15 Existence and Uniqueness of Solutions of Systems
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    Chapter 16 Existence and Uniqueness of Solutions of Systems (Contd.)
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    Chapter 17 General Properties of Linear Systems
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    Chapter 18 Fundamental Matrix Solution
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    Chapter 19 Systems with Constant Coefficients
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    Chapter 20 Periodic Linear Systems
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    Chapter 21 Asymptotic Behavior of Solutions of Linear Systems
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    Chapter 22 Asymptotic Behavior of Solutions of Linear Systems (Contd.)
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    Chapter 23 Preliminaries to Stability of Solutions
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    Chapter 24 Stability of Quasi-Linear Systems
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    Chapter 25 Two-Dimensional Autonomous Systems
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    Chapter 26 Two-Dimensional Autonomous Systems (Contd.)
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    Chapter 27 Limit Cycles and Periodic Solutions
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    Chapter 28 Lyapunov's Direct Method for Autonomous Systems
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    Chapter 29 Lyapunov's Direct Method for Nonautonomous Systems
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    Chapter 30 Higher-Order Exact and Adjoint Equations
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    Chapter 31 Oscillatory Equations
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    Chapter 32 Linear Boundary Value Problems
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    Chapter 33 Green's Functions
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    Chapter 34 Degenerate Linear Boundary Value Problems
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    Chapter 35 Maximum Principles
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    Chapter 36 Sturm—Liouville Problems
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    Chapter 37 Sturm–Liouville Problems (Contd.)
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    Chapter 38 Eigenfunction Expansions
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    Chapter 39 Eigenfunction Expansions (Contd.)
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    Chapter 40 Nonlinear Boundary Value Problems
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    Chapter 41 Nonlinear Boundary Value Problems (Contd.)
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    Chapter 42 Topics for Further Studies
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Title
An Introduction to Ordinary Differential Equations
Published by
Springer New York, January 2008
DOI 10.1007/978-0-387-71276-5
ISBNs
978-0-387-71276-5, 978-0-387-71275-8
Authors

Agarwal, Ravi P, O'Regan, Donal, Agarwal, Ravi P.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 285 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United Kingdom 1 <1%
United States 1 <1%
Kenya 1 <1%
Ghana 1 <1%
Unknown 281 99%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 11 4%
Student > Doctoral Student 7 2%
Student > Bachelor 6 2%
Researcher 6 2%
Professor 5 2%
Other 14 5%
Unknown 236 83%
Readers by discipline Count As %
Mathematics 20 7%
Engineering 12 4%
Physics and Astronomy 3 1%
Arts and Humanities 2 <1%
Computer Science 1 <1%
Other 6 2%
Unknown 241 85%