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.
Oscillations of second-order neutral differential equations with deviating arguments by S. J. Bilchev, M. K. Grammatikopoulos, and I. P. Stavroulakis A wave equation viewed as an ordinary differential equation by T. A. Burton, J. Terjeki, and B. Zhang The oscillation and exponential decay rate of solutions of differential delay equations by Y. Cao Transition layers for a singularly perturbed $2$-dimensional system of differential-difference equations by S.-N. Chow and W. Huang Differential difference equations in analytic number theory by H. G. Diamond and H. Halberstam A simple model for price fluctuations in a single commodity market by A. M. Farahani and E. A. Grove Some results on the asymptotic behavior of the solutions of a second order nonlinear neutral delay equation by J. R. Graef, M. K. Grammatikopoulos, and P. W. Spikes Linearized oscillations for nonautonomous delay difference equations by G. Ladas and C. Qian Small solutions and completeness for linear functional differential equations by S. M. V. Lunel Periodic solutions of differential delay equations with threshold-type delays by H. L. Smith and Y. Kuang Unstable manifolds of periodic orbits of a differential delay equation by H.-O. Walther The Fourier method for partial differential equations with piecewise continuous delay by J. Wiener and L. Debnath.