Differential equations: proceedings of the Eighth Fall Conference on Differential Equations held at Oklahoma State University, October 1979

Differential Equations is a collection of papers from the'Eight Fall Conference on Differential Equations'held at Oklahoma State University in October 1979. The papers discuss hyperbolic problems, bifurcation function, boundary value problems for Lipschitz equations, and the periodic solutions of systems of ordinary differential equations. Some papers deal with the existence of periodic solutions for nonlinearly perturbed conservative systems, the saddle-point theorem, the periodic solutions of the forced pendulum equation, as well as the structural identification (inverse) problem for illness-death processes. One paper presents an elementary proof of the work of deOliveira and Hale, and applies the stability for autonomous systems in the critical case of one zero root. Another paper explains the necessary and sufficient conditions for structural identification prior to application in states of illness-death processes. An illness-death process is a continuous Markov model with n illness (transient) states each having one (and only one) transfer into a death state. The paper examines two theorems whether these apply to an illness-death process under certain given elements. The collection is an ideal source of reference for mathematicians, students, and professor of calculus and advanced mathematics. Content: ACADEMIC PRESS RAPID MANUSCRIPT REPRODUCTION, Page ii Front Matter, Page iii Copyright, Page iv CONTRIBUTORS, Pages vii-viii PREFACE, Page ix, SHAIR AHMAD HYPERBOLIC PROBLEMS: EXISTENCE AND APPLICATIONS, Pages 1-21, Lamberto Cesari STABILITY FROM THE BIFURCATION FUNCTION, Pages 23-30, Jack K. Hale BOUNDARY VALUE PROBLEMS FOR LIPSCHITZ EQUATIONS, Pages 31-50, Lloyd K. Jackson PERIODIC SOLUTIONS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS, Pages 51-64, S.J. Skar, R.K. Miller, A.N. Michel BIFURCATION RESULTS FOR EQUATIONS WITH NONDIFFERENTIABLE NONLINEARITIES, Pages 65-86, Klaus Schmitt THE STRUCTURE OF LIMIT SETS: A SURVEY, Pages 87-102, George R. Sell ON EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEARLY PERTURBED CONSERVATIVE SYSTEMS, Pages 103-114, Shair Ahmad, Jorge Salazar START POINTS IN SEMI-FLOWS, Pages 115-121, Prem N. Bajaj A SADDLE-POINT THEOREM, Pages 123-126, Peter W. Bates, Ivar Ekeland GENERALIZED HOPF BIFURCATION IN Rn AND h-SYMPTOTIC STABILITY, Pages 127-134, S.R. Bernfeld, L. Salvadori THE POINCARÉ-BIRKHOFF “TWIST” THEOREM AND PERIODIC SOLUTIONS OF SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS, Pages 135-147, G.J. Butler PERIODIC SOLUTIONS OF THE FORCED PENDULUM EQUATION, Pages 149-160, Alfonso Castro ON THE STRUCTURAL IDENTIFICATION (INVERSE) PROBLEM FOR ILLNESS-DEATH PROCESSES, Pages 161-170, Jerome Eisenfeld COMPUTER SYMBOLIC SOLUTION OF NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH ARBITRARY BOUNDARY CONDITIONS BY THE TAYLOR SERIES, Pages 171-185, James N. Hanson A NOTE ON NONCONTINUABLE SOLUTIONS OF A DELAY DIFFERENTIAL EQUATION, Pages 187-192, T.L. Herdman THE CENTER OF A FLOW, Pages 193-198, Ronald A. Knight ON MULTIPLE SOLUTIONS OF A NONLINEAR DIRICHLET PROBLEM, Pages 199-214, A.C. Lazer, P.J. McKenna CERTAIN “NONLINEAR” DYNAMICAL SYSTEMS ARE LINEAR, Pages 215-219, Roger C. McCann A MODEL OF COMPLEMENT ACTIVATION BY ANTIGEN-ANTIBODY COMPLEXES, Pages 221-233, Stephen J. Merrill, Ann V. LeFever SOLVABILITY OF NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS USING A PRIORI ESTIMATES, Pages 235-247, R. Kent Nagle, Karen Singkofer ATTRACTORS IN GENERAL SYSTEMS, Pages 249-270, Peter Seibert INFECTIOUS DISEASE IN A SPATIALLY HETEROGENEOUS ENVIRONMENT, Pages 271-278, C.C. Travis, W.M. Post, D.L. DeAngelis