A New Look at the Airy Equation with Fences and Funnels***

John H. Hubbard, Jean Marie McDill, Anne Noonburg

Beverly H. West
Department of Mathematics
Cornell University
Ithaca, NY

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Abstract:

In this paper we will show how to use fences and funnels to study the asymptotic behavior of solutions to the equation x''+p(t)x' + q(t)x = 0 These geometric methods, described briefly elsewhere in this issue [3] and more fully in the book [4], will give a great deal of qualitative and quantitative information about the solutions without ever requiring a formula for x(t).