Contributions to the Theory of Nonlinear Oscillations, Volume V
1st Edition
Published on 6. June 2016
304 pages
978-1-4008-8264-9 (ISBN)
Description
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.
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.
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Lamberto Cesari | J. LaSalle | Solomon Lefschetz
Contributions to the Theory of Nonlinear Oscillations, Volume V
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01/1960
Princeton University Press
€95.90
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Persons
Edited by L. Cesari, J. LaSalle, & Solomon Lefschetz
Content
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
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
