Contributions to the Theory of Nonlinear Oscillations, Volume V

Lamberto Cesari, J. LaSalle, Solomon Lefschetz, Lamberto Cesari, J. LaSalle, Solomon Lefschetz

• Publisher: Princeton University Press
• Year: 2016
• Print ISBN:
  9780691079332
• eBook ISBN:
  9781400882649
• Topic: Mathematics
• Subtopic: Discrete Mathematics
• Index: Mathematics

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

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Table of contents

• Cover
• Title
• Copyright
• CONTENTS
• Preface
• I. The Time Optimal Control Problem
• II. Continuous Dependence on a Parameter
• III. Poincaré's Perturbation Method and Topological Degree
• IV. On the Behavior of the Solutions of Linear Periodic Differential Systems Near Resonance Points
• V. On the Stability Periodic Solutions of Weakly Nonlinear Periodic and Autonomous Differential Systems
• VI. Existence Theorems for Periodic Solutions of Nonlinear Lipschitzian Differential Systems and Fixed Point
• VII. The Applications of a Fixed Point Theorem to a Variety of Non-Linear Stability Problems
• VIII. Quadratic Differential Equations and Non- Associative Algebras
• IX. Sur Une Propriété De L'Ensemble Des Trajectoires Bornées De Certains systèmes Dynamiques
• X. On Language Stable Motions in the Neighborhood of Critical Points
• XI. The Local Theory Of Piecewise Continuous Differential Equations
• XII. Asymptotic Stability in 3-Space
• XIII. Existence and Uniqueness of the Periodic Solution of an Equation for Autonomous Oscillations
• Appendix