San Diego State University Colloquium, Friday, November 21, 3:30 pm, G5 Rolla Building Professor Donald Lutz San Diego State University Asymptotic behavior and error estimates for the solutions of a certain class of differential equations Abstract In this talk a certain class of second order linear differential equations will be investigated. These equations arise from a radial Schrödinger equation with oscillatory potential. The problem is to determine the asymptotic behavior of solutions (as functions of the parameters in the equation). We will show that “standard techniques” from the theory of asymptotic integration can be applied to analyze the solutions, and using this approach, we can generalize and extend special results obtained by Alexander Its by quite different methods.