E-Book, Englisch, Band 36, 296 Seiten
Lefschetz Contributions to the Theory of Nonlinear Oscillations, Volume III
1. Auflage 2016
ISBN: 978-1-4008-8217-5
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
E-Book, Englisch, Band 36, 296 Seiten
Reihe: Annals of Mathematics Studies
ISBN: 978-1-4008-8217-5
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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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