Contributions to the Theory of Nonlinear Oscillations, Volume III

*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