Problem 9

Due in DSC 203 by 3 PM, Friday March 09, 2001

Let $f:{\mathbb R}\longrightarrow{\mathbb R}$ be a twice differentiable function such that

$$f(x+\pi)=f(x)\quad\mbox{ and }\quad f''(x)+f(x)\geq 0$$

for all $x\in {\mathbb R}$. Show that $f(x)\geq 0$ for all $x\in {\mathbb R}$.
Solutions, questions and/or comments should be directed to Judy Downey or Griff Elder

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Last modified:   Wed Feb 28 19:14:51 CST 2001