Description

Book Synopsis

The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V, will be forthcoming.



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 Propriete De L'Ensemble Des Thajectoires Bornees De Certains Systemes 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

Contributions to the Theory of Nonlinear

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    A Paperback / softback by Lamberto Cesari, J. LaSalle, Solomon Lefschetz

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      Publisher: Princeton University Press
      Publication Date: Publication Date: 21/01/1960
      ISBN13: 9780691079332, 978-0691079332
      ISBN10: 0691079331

      Description

      Book Synopsis

      The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V, will be forthcoming.



      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 Propriete De L'Ensemble Des Thajectoires Bornees De Certains Systemes 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

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