Ordinary Differential Equations. 1971 NRL–MRC Conference

Content: 
Front Matter, Page iii
Copyright, Page iv
PARTICIPANTS, Pages ix-xii
PREFACE, Page xiii, Leonard Weiss
A GENERAL APPROACH TO LINEAR PROBLEMS FOR NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS, Pages 3-9, H.A. Antosiewicz
DIFFERENTIAL RELATIONS, Pages 11-17, D. Bushaw
CONDITIONS FOR BOUNDEDNESS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS, Pages 19-26, M.L. Cartwright
ON A GENERALIZATION OF THE MORSE INDEX, Pages 27-33, C. Conley
EQUATIONS MODELLING POPULATION GROWTH, ECONOMIC GROWTH, AND GONORRHEA EPIDEMIOLOGY, Pages 35-53, Kenneth L. Cooke, James A. Yorke
ABSOLUTE STABILITY OF SOME INTEGRO-DIFFERENTIAL SYSTEMS, Pages 55-70, C. Corduneanu
A NEW TECHNIQUE FOR PROVING THE EXISTENCE OF ANALYTIC FUNCTIONS, Pages 71-81, Stephen P. Diliberto
POTENTIALS WITH CLOSED TRAJECTORIES ON SURFACES OF REVOLUTION, Pages 83-93, A. Halanay
LOCAL BEHAVIOR OF AUTONOMOUS NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS, Pages 95-107, Jack K. Hale
EXTREMAL PROPERTIES OF BICONVEX CONTINGENT EQUATIONS, Pages 109-119, Hubert Halkin
ASYMPTOTIC DISTRIBUTION OF EIGENVALUES, Pages 121-125, W.A. Harris Jr., Y. Sibuya
ON LOGARITHMIC DERIVATIVES OF SOLUTIONS OF DISCONJUGATE LINEAR nTH ORDER DIFFERENTIAL EQUATIONS, Pages 127-136, Philip Hartman
UNIQUENESS AND EXISTENCE OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR ORDINARY DIFFERENTIAL EQUATIONS, Pages 137-149, Lloyd K. Jackson
REALIZATION OF CONTINUOUS-TIME LINEAR DYNAMICAL SYSTEMS: RIGOROUS THEORY IN THE STYLE OF SCHWARTZ, Pages 151-164, R.E. Kalman, M.L.J. Hautus
DISSIPATIVE SYSTEMS, Pages 165-174, J.P. LaSalle
RELAXATION OSCILLATIONS AND TURBULENCE, Pages 175-183, A. Lasota
GEOMETRIC DIFFERENTIAL EQUATIONS, Pages 185-193, Solomon Lefschetz
TAUBERIAN THEOREMS AND FUNCTIONAL EQUATIONS, Pages 195-207, J.J. Levin, D.F. Shea
PERTURBATIONS OF VOLTERRA EQUATIONS, Pages 209-219, John A. Nohel
INVOLUTORY MATRIX DIFFERENTIAL EQUATIONS, Pages 221-240, William T. Reid
CONTROL THEORY OF HYPERBOLIC EQUATIONS RELATED TO CERTAIN QUESTIONS IN HARMONIC ANALYSIS AND SPECTRAL THEORY: (An Outline), Pages 241-263, David L. Russell
THE HOMOLOGY OF INVARIANT SETS OF FLOWS, Pages 265-275, Robert J. Sacker
LINEAR DIFFERENTIAL EQUATIONS WITH DELAYS: ADMISSIBILITY AND EXPONENTIAL DICHOTOMIES, Pages 277-286, J.J. Schäffer
TOPOLOGICAL DYNAMICAL TECHNIQUES FOR DIFFERENTIAL AND INTEGRAL EQUATIONS, Pages 287-304, George R. Sell
DOUBLE ASYMPTOTIC EXPANSIONS FOR LINEAR ORDINARY DIFFERENTIAL EQUATIONS, Pages 305-314, Wolfgang Wasow
OSCILLATORY PROPERTY FOR SECOND ORDER DIFFERENTIAL EQUATIONS, Pages 315-327, Taro Yoshizawa
A PICTORIAL STUDY OF AN INVARIANT TORUS IN PHASE SPACE OF FOUR DIMENSIONS, Pages 331-349, R. Baxter, H. Eiserike, A. Stokes
AUTONOMOUS PERTURBATIONS OF SOME HAMILTONIAN SYSTEMS, ALL OF WHOSE SOLUTIONS ARE PERIODIC, Pages 351-357, Melvyn S. Berger
SOME BOUNDARY VALUE PROBLEMS FOR NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS ON INFINITE INTERVALS, Pages 359-363, Melvyn S. Berger
POSITIVELY STABLE DYNAMICAL SYSTEMS, Pages 365-370, Nam P. Bhatia
A NONLINEAR PREDATOR-PREY PROBLEM, Pages 371-377, Fred Brauer
LIE ALGEBRAS AND LINEAR DIFFERENTIAL EQUATIONS, Pages 379-386, Roger W. Brockett, Abdolhossein Rahimi
AN ALGORITHM FOR COMPUTING LIAPUNOV FUNCTIONALS FOR SOME DIFFERENTIAL-DIFFERENCE EQUATIONS, Pages 387-398, Richard Datko
PERIODIC SOLUTIONS TO HAMILTONIAN SYSTEMS WITH INFINITELY DEEP POTENTIAL WELLS, Pages 399-403, William B. Gordon
VARIATIONAL PROBLEMS WITH DELAYED ARGUMENT, Pages 405-412, A. Halanay
FREQUENCY-DOMAIN CRITERIA FOR DISSIPATIVITY, Pages 413-417, A. Halanay
NOTE ON ANALYTIC SOLUTIONS OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS AT AN IRREGULAR TYPE SINGULARITY, Pages 419-431, P.F. Hsieh
STABILITY OF COMPACTNESS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS, Pages 433-458, G. Stephen Jones
KRONECKER INVARIANTS AND FEEDBACK, Pages 459-471, R.E. Kaiman
LOWER BOUNDS AND UNIQUENESS FOR SOLUTIONS OF EVOLUTION INEQUALITIES IN A HILBERT SPACE, Pages 473-487, G. Ladas, V. Lakshmikantham
REMARKS ON LINEAR DIFFERENTIAL EQUATIONS WITH DISTRIBUTIONAL PERTURBATIONS, Pages 489-495, A. Lasota
COMPUTING BOUNDS FOR FOCAL POINTS AND FOR σ-POINTS FOR SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS, Pages 497-503, Walter Leighton
GLOBAL CONTROLLABILITY OF NONLINEAR SYSTEMS, Pages 505-512, D.L. Lukes
THE PHRAGMÉN-LINDELÖF PRINCIPLE AND A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS, Pages 513-540, Grainger R. Morris, Alan Feldstein, Ernie W. Bowen
SINGULAR PERTURBATIONS AND THE LINEAR STATE REGULATOR PROBLEM, Pages 541-544, R.E. O'Malley Jr.
DELAY-FEEDBACK, TIME-OPTIMAL, LINEAR TIME-INVARIANT CONTROL SYSTEMS, Pages 545-552, V.M. Popov
THE FAMILY OF DIRECT PERIODIC ORBITS OF THE FIRST KIND IN THE RESTRICTED PROBLEM OF THREE BODIES, Pages 553-561, Dieter S. Schmidt
A GENERAL THEORY OF LIAPUNOV STABILITY, Pages 563-568, P. Seibert
FINITE TIME STABILITY OF LINEAR DIFFERENTIAL EQUATIONS, Pages 569-580, Leonard Weiss, Jong-Sen Lee
SECOND ORDER OSCILLATION WITH RETARDED ARGUMENTS, Pages 581-596, James S.W. Wong
A NOTE ON MALMQUIST'S THEOREM ON FIRST-ORDER DIFFERENTIAL EQUATIONS, Pages 597-607, Chung-Chun Yang