Growth and decay of solutions of $y\sp{(2n)}-py=0$

Simple estimates of the rate of growth and decay of certain solutions of ${y^{(2n)}} - py = 0$ on $[0,\infty )$ when $p$ is eventually nonnegative are used to obtain sufficient conditions for the existence of exponential solutions, solutions which approach 0, and ${L^2}(0,\infty )$ solutions.