Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III / / Solomon Lefschetz.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• VerfasserIn: Lefschetz, Solomon,
• MitwirkendeR: Barocio, Samuel,; Diliberto, S. P.,; Diliberto, Stephen P.,; Gomory, Ralph E.,; Haas, Felix,; Haas, Violet B.,; Hufford, G.,; Hufford, George,; Koosis, Paul,; Kyner, Walter T.,; Marcus, M. D.,; Marcus, Marvin D.,; Markus, L.,; Pinney, Edmund,; Seifert, George,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1956
• Year of Publication: 2016
• Language: English
• Series: Annals of Mathematics Studies ; 36
• Physical Description: 1 online resource (296 p.)

The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III, will be forthcoming.

Table of Contents

• Frontmatter
• PREFACE
• CONTENTS
• I. A ROTATED VECTOR APPROACH TO THE PROBLEM OP STABILITY OP SOLUTIONS OF PENDULUM-TYPE EQUATIONS
• II. ASYMPTOTICALLY AUTONOMOUS DIFFERENTIAL SYSTEMS
• III. NONLINEAR DIFFERENTIAL EQUATIONS SYSTEMS
• IV. ON A NON-LINEAR DIFFERENTIAL EQUATION CONTAINING A SMALL PARAMETER
• V. CRITICAL POINTS AT INFINITY AND FORCED OSCILLATION
• VI. ON CERTAIN CRITICAL POINTS OF A DIFFERENTIAL SYSTEM IN THE PLANE
• VII. ON THE TOTAL NUMBER OF SINGULAR POINTS AND LIMIT CYCLES OF A DIFFERENTIAL EQUATION
• VIII. BANACH SPACES AND THE PERTURBATION OF ORDINARY DIFFERENTIAL EQUATIONS
• IX. A FIXED POINT THEOREM
• X. PERTURBATION THEOREMS FOR NON-LINEAR ORDINARY DIFFERENTIAL EQUATIONS
• XI. A NOTE ON THE EXISTENCE OF PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS
• XII. AN INVARIANT SURFACE THEOREM FOR A NON-DEGENERATE SYSTEM
• XIII. AN APPLICATION OP PERIODIC SURFACES (SOLUTION OF A SMALL DIVISOR PROBLEM)
• XIV. REPEATING SOLUTIONS FOR A DEGENERATE SYSTEM
• XV. BOUNDS FOR PERIODS OF PERIODIC SOLUTIONS
• XVI. ONE-DIMENSIONAL REPEATING CURVES IN THE NON-DEGENERATE CASE
• Backmatter