Asymptotic Behavior and Stability Problems in Ordinary Differential Equations

by Lamberto Cesari

Overview

I. The concept of stability and systems with constant coefficients.- II. General linear systems.- III. Nonlinear systems.- IV. Asymptotic developments.

Product Details

ISBN-13:	9783662393284
Publisher:	Springer-Verlag New York, LLC
Publication date:	01/01/1959
Pages:	280
Product dimensions:	6.14(w) x 9.21(h) x 0.59(d)

Table of Contents

I. The concept of stability and systems with constant coefficients.- § 1. Some remarks on the concept of stability.- § 2. Linear systems with constant coefficients.- II. General linear systems.- § 3. Linear systems with variable coefficients.- § 4. Linear systems with periodic coefficients.- § 5. The second order linear differential equation and generalizations.- III. Nonlinear systems.- § 6. Some basic theorems on nonlinear systems and the first method of Lyapunov.- § 7. The second method of Lyapunov.- § 8. Analytical methods.- §9. Analytical-topological methods.- IV. Asymptotic developments.- § 10. Asymtotic developments in general.