Nonlinear Systems and Applications: An International Conference contains the proceedings of an International Conference on Nonlinear Systems and Applications held at the University of Texas at Arlington, on July 19-23, 1976. The conference provided a forum for reviewing advances in nonlinear systems and their applications and tackled a wide array of topics ranging from abstract evolution equations and nonlinear semigroups to controllability and reachability. Various methods used in solving equations are also discussed, including approximation techniques for delay systems. Most of the applications are in the area of the life sciences.
Comprised of 59 chapters, this book begins with a discussion on monotonically convergent upper and lower bounds for classes of conflicting populations, followed by an analysis of constrained problems. The reader is then introduced to approximation techniques for delay systems in biological models; differential inequalities for Liapunov functions; and stability or chaos in discrete epidemic models. Subsequent chapters deal with nonlinear boundary value problems for elliptic systems; bounds for solutions of reaction-diffusion equations; monotonicity and measurability; and periodic solutions of some integral equations from the theory of epidemics.
This monograph will be helpful to students, practitioners, and researchers in the field of mathematics.

List of ContributorsPrefaceInvited Addresses and Research Reports Monotonically Convergent Upper and Lower Bounds for Classes of Conflicting Populations A New View on Constrained Problems Delay Systems in Biological Models: Approximation Techniques Convergence of Volterra Series on Infinite Intervals and Bilinear Approximations Differential Inequalities for Liapunov Functions Nonlinear Oscillations A Comparison Principle for Steady-State Diffusion Operators Stability or Chaos in Discrete Epidemic Models Analytic Methods for Approximate Solutions of Elliptic Free Boundary Problems Nonlinear Boundary Value Problems for Elliptic Systems in the Plane Error Propagation and Catastrophes in Protein Synthesizing Machinery Some New Applications of Popov's Frequency-Domain Method Bounds for Solutions of Reaction-Diffusion Equations Imbedding Methods for Bifurcation Problems and Post-Buckling Behavior of Nonlinear Columns Monotonicity and Measurability Chaotic Behavior in Dynamical Systems Stability Technique and Thought Provocative Dynamical Systems The Current Status of Abstract Cauchy Problem On the Method of Cone-Valued Lyapunov Functions Periodic Solutions of Some Integral Equations from the Theory of Epidemics Some Recent Progress in Neuro-Muscular Systems Applications of the Saturability Technique in the Problem of Stability of Nonlinear Systems Nonlinear Evolution Equations and Nonlinear Ergodic Theorems On Pure Structure of Dynamic Systems Optimizing and Extremizing Nonlinear Boundary Value Problems in Lenticular Antennas in Oceanography, Medicine and Communications: Some Solutions and Some Questions A Model for the Statistical Analysis of Cell Radiosensitivity during the Cell Cycle Volterra Integral Equations and Nonlinear SemigroupsContributed Papers The Mathematical Analysis of a Four-Compartment Stochastic Model of Rose Bengal Transport through the Hepatic System A More Efficient Algorithm for an Optimal Tour of a Health Care Consumer with Multiple Health Care Facilities in Each County Stability of Non-Compact Sets Parametric Excitation as the Means of Energy Transfer in Quantal Systems with Reference to Carcinogenesis and Bioenergetics Quantum Statistical Foundations for Structural Information Theory and Communication Theory Boundary Value Problems for Nonlinear Differential Equations Global Solutions for a Problem of Neutron Transport with Temperature Feedback Optimal Harvesting for the Logistic and Gompertz Growth Curve Maximum and Minimum Degeneracy Set of Linear Time-Invariant Delay-Differential Systems of the Neutral Type On the Controllability to Closed Sets of Nonlinear and Related Linear Systems A Discrete-time Nonlinear (m + n(-Person Labor MarketSystem with Uncertainty Time Delays in Predator-Prey Systems On Selecting a Response Function in Nonlinear Regression On the Moments of Exponential Decay On the Steady State of an Age Dependent Model for Malaria Abstract Volterra Equations with Infinite Delay The Incidence of Infectious Diseases under the Influence of Seasonal Fluctuations-Analytical Approach Sum of Ranges of Operators and Applications A Variation of Razumikhin's Method for Retarded Functional Differential Equations A Degenerate Problem of Singular Perturbations Bôcher-Osgood Type Theorems for Third Order Differential Equations On the Characterization of Macromolecular Length Distributions by Analysis of Electrical Birefringence Decay Periodic Solutions and Perturbed Semigroups of Linear Operators Speculative Demand with Supply Response Lag A Geometrical Study of B-Cell Stimulation and Humoral Immune Response Generalized Stability of Motion and Vector Lyapunov Functions Simple Analogs for Nerve Membrane Equations Oscillations Results for a Nonhomogeneous Equation The Comparison of a