Contributions to the Theory of Nonlinear Oscillations, Volume III
1st Edition
Published on 6. June 2016
296 pages
978-1-4008-8217-5 (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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Solomon Lefschetz
Contributions to the Theory of Nonlinear Oscillations, Volume III
Book
01/1956
Princeton University Press
€88.70
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Solomon Lefschetz
Content
Frontmatter, pg. i
PREFACE, pg. v
CONTENTS, pg. vii
I. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS, pg. 1
II. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS, pg. 17
III. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS, pg. 31
IV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER, pg. 57
V. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION, pg. 85
VI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE, pg. 127
VII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION, pg. 137
VIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS, pg. 173
IX. A FIXED POINT THEOREM, pg. 197
X. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS, pg. 207
XI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS, pg. 237
XII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM, pg. 243
XIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM), pg. 257
XIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM, pg. 261
XV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS, pg. 269
XVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE, pg. 277
Backmatter, pg. 288
PREFACE, pg. v
CONTENTS, pg. vii
I. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS, pg. 1
II. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS, pg. 17
III. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS, pg. 31
IV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER, pg. 57
V. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION, pg. 85
VI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE, pg. 127
VII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION, pg. 137
VIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS, pg. 173
IX. A FIXED POINT THEOREM, pg. 197
X. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS, pg. 207
XI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS, pg. 237
XII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM, pg. 243
XIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM), pg. 257
XIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM, pg. 261
XV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS, pg. 269
XVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE, pg. 277
Backmatter, pg. 288
