Title

Differential Equations with No Small Solutions

Document Type

Presentation

Presentation Date

10-17-2009

Conference Name

Fall 2009 Indiana Section meeting of the MAA

Conference Location

Purdue University Calumet

Peer Review

Contributed

Abstract

The differential equation f' (x) = (f(x))^2/3 has the well-known property that its solutions are not uniquely determined by an initial condition. I will consider this from another point of view, showing that a non-zero initial value at the center of an interval implies large values near an endpoint. This phenomenon can be generalized to several variables, higher order equations, and differential inequalities.

Disciplines

Analysis | Mathematics