The calendar will resume its weekly format in the fall. During the summer, we may not print the calendar every week, but we'll try to keep this online listing up to date.
Past calendars are available, as well as a web page listing just our colloquia .
John Graef, University of Tennessee at Chattanooga. Krasnosel'skii's Fixed Point Theorem and Positive Solutions of Boundary Value Problems. Boundary value problems for ordinary differential equations arise in a variety of applications to physical, biological, and chemical phenomena. Other applications include models of the effects of soil settlement, gas diffusion through a porous media, and chemically reacting systems. In this talk, we apply Krasnosel'skii's fixed point theorem to obtain the existence of positive solutions to a boundary value problem for fourth order ordinary differential equations.