The authors give a treatment of the theory of ordinary differential equations (ODEs) that is excellent for a first course at the graduate level as well as for individual study. The reader will find it to be a captivating introduction with a number of non-routine exercises dispersed throughout the book.The authors begin with a study of initial value problems for systems of differential equations including the Picard and Peano existence theorems. The continuability of solutions, their continuous dependence on initial conditions, and their continuous dependence with respect to parameters are presented in detail. This is followed by a discussion of the differentiability of solutions with respect to initial conditions and with respect to parameters. Comparison results and differential inequalities are included as well.Linear systems of differential equations are treated in detail as is appropriate for a study of ODEs at this level. Just the right amount of basic properties of matrices are introduced to facilitate the observation of matrix systems and especially those with constant coefficients. Floquet theory for linear periodic systems is presented and used to analyze nonhomogeneous linear systems.Stability theory of first order and vector linear systems are considered. The relationships between stability of solutions, uniform stability, asymptotic stability, uniformly asymptotic stability, and strong stability are examined and illustrated with examples as is the stability of vector linear systems. The book concludes with a chapter on perturbed systems of ODEs.
- ISBN:
- 9789811221354
- 9789811221354
-
Category:
- Differential calculus & equations
- Format:
- Paperback
- Publication Date:
-
18-04-2018
- Publisher:
- World Scientific Publishing Co Pte Ltd
- Country of origin:
- Singapore
- Pages:
- 176
This title is in stock with our Australian supplier and should arrive at our Sydney warehouse within 2 - 3 weeks of you placing an order.
Once received into our warehouse we will despatch it to you with a Shipping Notification which includes online tracking.
Please check the estimated delivery times below for your region, for after your order is despatched from our warehouse:
ACT Metro 2 working days
NSW Metro 2 working days
NSW Rural 2 - 3 working days
NSW Remote 2 - 5 working days
NT Metro 3 - 6 working days
NT Remote 4 - 10 working days
QLD Metro 2 - 4 working days
QLD Rural 2 - 5 working days
QLD Remote 2 - 7 working days
SA Metro 2 - 5 working days
SA Rural 3 - 6 working days
SA Remote 3 - 7 working days
TAS Metro 3 - 6 working days
TAS Rural 3 - 6 working days
VIC Metro 2 - 3 working days
VIC Rural 2 - 4 working days
VIC Remote 2 - 5 working days
WA Metro 3 - 6 working days
WA Rural 4 - 8 working days
WA Remote 4 - 12 working days
Share This Book: