Differential Equations with No Small Solutions
Fall 2009 Indiana Section meeting of the MAA
Purdue University Calumet
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.
Analysis | Mathematics
Adam Coffman and Yifei Pan (2009).
Differential Equations with No Small Solutions. Presented at Fall 2009 Indiana Section meeting of the MAA, Purdue University Calumet.