Oscillation and Dynamics in Delay Equations: Proceedings of an AMS Special Session Held January 16-19, 1991

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Oscillation theory and dynamical systems have long been rich and active areas of research. Containing frontier contributions by some of the leaders in the field, this book brings together papers based on presentations at the AMS meeting in San Francisco in January, 1991. With special emphasis on delay equations, the papers cover a broad range of topics in ordinary, partial, and difference equations and include applications to problems in commodity prices, biological modeling, and number theory. The book would be of interest to graduate students and researchers in mathematics or those in other fields who have an interest in delay equations and their applications.
 

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Contents

Oscillations of SecondOrder Neutral Differential Equations with Deviating Arguments
1
A Wave Equation Viewed as an Ordinary Differential Equation
23
The Oscillation and Exponential Decay Rate of Solutions of Differential Delay Equations
43
Transition Layers for a Singularly Perturbed 2Dimensional System of DifferentialDifference Equations
55
Differential Difference Equations in Analytic Number Theory
73
A Simple Model for Price Fluctuations in a Single Commodity Market
97
Some Results on the Asymptotic Behavior of the Solutions of a Second Order Nonlinear Neutral Delay Equation
105
Linearized Oscillations for Nonautonomous Delay Difference Equations
115
Small Solutions and Completeness for Linear Functional Differential Equations
127
Periodic Solutions of Differential Delay Equations with ThresholdType Delays
153
Unstable Manifolds of Periodic Orbits of a Differential Delay Equation
177
The Fourier Method for Partial Differential Equations with Piecewise Continuous Delay
241
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