Qualitative Theory of Ordinary Differential Equations An Introduction

ISBN-10: 0486658465
ISBN-13: 9780486658469
Edition: 1989
List price: $16.95 Buy it from $8.19
eBook available
30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Used Starting from $10.62
New Starting from $14.84
eBooks Starting from $16.95
Buy
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!
You could win $10,000

Get an entry for every item you buy, rent, or sell.

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
Italian Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
Portuguese Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
Spanish Grammar Online content $4.95 $1.99
Add to cart
Study Briefs
German Grammar Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

List price: $16.95
Copyright year: 1989
Publisher: Dover Publications, Incorporated
Publication date: 2/1/1989
Binding: Paperback
Pages: 320
Size: 5.50" wide x 8.50" long x 0.75" tall
Weight: 0.748
Language: English

Preface
Systems of Differential Equations
A Simple Mass-Spring System
Coupled Mass-Spring Systems
Systems of First-Order Equations
Vector-Matrix Notation for Systems
The Need for a Theory
Existence, Uniqueness, and Continuity
The Gronwall Inequality
Linear Systems, with an Introduction to Phase Space Analysis
Introduction
Existence and Uniqueness for Linear Systems
Linear Homogeneous Systems
Linear Nonhomogeneous Systems
Linear Systems with Constant Coefficients
Similarity of Matrices and the Jordan Canonical Form
Asymptotic Behavior of Solutions of Linear Systems with Constant Coefficients
Autonomous Systems--Phase Space--Two-Dimensional Systems
Linear Systems with Periodic Coefficients
Miscellaneous Exercises
Existence Theory
Existence in the Scalar Case
Existence Theory for Systems of First-Order Equations
Uniqueness of Solutions
Continuation of Solutions
Dependence on Initial Conditions and Parameters
Miscellaneous Exercises
Stability of Linear and Almost Linear Systems
Introduction
Definitions of Stability
Linear Systems
Almost Linear Systems
Conditional Stability
Asymptotic Equivalence
Stability of Periodic Solutions
Lyapunov's Second Method
Introductory Remarks
Lyapunov's Theorems
Proofs of Lyapunov's Theorems
Invariant Sets and Stability
The Extent of Asymptotic Stability--Global Asymptotic Stability
Nonautonomous Systems
Some Applications
Introduction
The Undamped Oscillator
The Pendulum
Self-Excited Oscillations--Periodic Solutions of the Lienard Equation
The Regulator Problem
Absolute Stability of the Regulator System
Generalized Eigenvectors, Invariant Subspaces, and Canonical Forms of Matrices
Canonical Forms of 2 x 2 Matrices
The Logarithm of a Matrix
Some Results from Matrix Theory
Bibliography
Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×