Stability of dynamical systems : theory and applications : proceedings of the National Science Foundation--Conference Board of Mathematical Sciences Regional Conference held at Mississippi State University [August 11-15, 1975

Cover......Page 1 Title Page......Page 2 Copyright......Page 3 PREFACE......Page 4 CONTENTS......Page 6 PARTICIPANTS......Page 8 Part I: INVITED ADDRESSES......Page 11 1. ON THE LIMITING EQUATIONS AND INVARIANCE OF TIME-DEPENDENT DIFFERENCE EQUATIONS......Page 13 2. LIAPUNOV FUNCTIONS AND BOUNDEDNESS OF SOLUTIONS......Page 21 3. RECENT RESULTS ON OSCILLATION OF SOLUTIONS OF FORCED AND PERTURBED NONLINEAR DIFFERENTIAL EQUATIONS OF EVEN ORDER......Page 27 4. CONTRACTIVE MAPPINGS AND PERIODICALLY PERTURBED NON-CONSERVATIVE SYSTEMS......Page 83 Part II: CONTRIBUTED PAPERS......Page 99 6. SEMI-COMPACTNESS IN SEMI-DYNAMICAL SYSTEMS......Page 107 7. NON-UNIFORM SAMPLING AND N-DIMENSION SAMPLING......Page 115 8. COMPLETE STABILITY AND BOUNDEDNESS OF SOLUTIONS OF A NONLINEAR DIFFERENTIAL EQUATION OF THE FIFTH ORDER......Page 121 9. STABILITY TYPE PROPERTIES FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS......Page 129 10. PRICE STABILITY IN UNIONS OF MARKETS......Page 137 11. A NONCONTINUATION CRITERION FOR AN N-TH ORDER EQUATION WITH A RETARDED ARGUMENT......Page 147 12. NEGATIVE ESCAPE TIME FOR SEMIDYNAMICAL SYSTEMS......Page 153 13. ON THE UNIFORM ASYMPTOTIC STABILITY OF THE LINEAR NONAUTONOMOUS EQUATION x = -P(t)x WITH SYMMETRIC POSITIVE SEMI-DEFINITE MATRIX P(t)......Page 159 14. SMOOTHING CONTINUOUS DYNAMICAL SYSTEMS ON MANIFOLDS......Page 169 15. GLOBAL ASYMPTOTIC STABILITY OF SOME AUTONOMOUS THIRD ORDER SYSTEMS......Page 177 16. A REPRESENTATION FOR INPUT-OUTPUT OPERATORS FOR HEREDITARY SYSTEMS......Page 187 17. STABILITY OF PASSIVE AMCD-SPACECRAFT EQUATIONS OF MOTION: A FUTURE GENERATION SPACECRAFT ATTITUDE CONTROL SYSTEM......Page 193 18. THE IMPLICIT FUNCTION THEOREM AND A RANDOM INTEGRAL EQUATION......Page 211 19. ASYMPTOTIC STABILITY IN THE a-NORM FOR AN ABSTRACT NONLINEAR VOLTERRA INTEGRAL EQUATION......Page 217 INDEX......Page 223 This volume contains the invited addresses and contributed papers presented at a Regional Research Conference Board of the Mathematical Sciences and held at the Mississippi State University from August 11 - 15, 1975. The subject of the conference was the stability of dynamical systems, and Professor J. P. LaSalle of the Lefschetz Center for Dynamical Systems, Brown University, was the principal lecturer