Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V

by Lamberto Cesari, J. LaSalle, Solomon Lefschetz

Overview

Classic contributions to the theory of nonlinear oscillations from the acclaimed Annals of Mathematics Studies series

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century.

To mark the continued success of the series, all books are available in paperback and as ebooks.

Product Details

ISBN-13:	9780691079332
Publisher:	Princeton University Press
Publication date:	01/21/1960
Series:	Annals of Mathematics Studies , #45
Pages:	304
Product dimensions:	8.25(w) x 11.00(h) x (d)

Table of Contents

• Frontmatter, pg. i
• Preface, pg. v
• Contents, pg. vii
• I. The Time Optimal Control Problem, pg. 1
• II. Continuous Dependence on a Parameter, pg. 25
• III. Poincare’s Perturbation Method and Topological Degree, pg. 37
• IV. On the Behavior of the Solutions of Linear Periodic Differential Systems Near Resonance Points, pg. 55
• V. On the Stability of Periodic Solutions of Weakly Nonlinear Periodic and Autonomous Differential Systems, pg. 91
• VI. Existence Theorems for Periodic Solutions of Nonlinear Lipschitzian Differential Systems and Fixed Point Theorems, pg. 115
• VII. The Applications of a Fixed Point Theorem to a Variety of Non-Linear Stability Problems, pg. 173
• VIII. Quadratic Differential Equations and Non-Associative Algebras, pg. 185
• IX. Sur Une Propriété De L’Ensemble Des Thajectoires Bornées De Certains Systèmes Dynamiques, pg. 215
• X. On Lagrange Stable Motions in the Neighborhood of Critical Points, pg. 219
• XI. The Local Theory of Piecewise Continuous Differential Equations, pg. 225
• XII. Asymptotic Stability in 3-Space, pg. 257
• XIII. Existence and Uniqueness of the Periodic Solution of an Equation for Autonomous Oscillations, pg. 269
• Appendix, pg. 285