Keywords
boundary conditions
Brownian motion
eigenvalues
Operador de Hill
condiciones de frontera
movimiento Browniano
valores propios
How to Cite
Abstract
We study Hill’s equation with general boundary conditions and white noise potential. In [3] they solve the problem with Dirichlet conditions, leaving the general case unresolved. The problem is important both from the theoretical and the applied point of view, given the range of applications of the subject. Following [6], we give a description of the standard brownian motion process, and mention some of its basic properties. We then introduce the equation to be studied, the remaining of the work being devoted to the analysis of the asymptotic of eigenvalues.
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