Valores propios asociados al operador de Hill unidimensional. Caso general

 

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Autoři: Cambronero, Santiago, Alfaro, Marco
Médium: artículo original
Stav:Versión publicada
Datum vydání:2007
Popis: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.
Země:Portal de Revistas UCR
Instituce:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
Jazyk:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/280
On-line přístup:https://revistas.ucr.ac.cr/index.php/matematica/article/view/280
Klíčové slovo:Hill’s operator
boundary conditions
Brownian motion
eigenvalues
Operador de Hill
condiciones de frontera
movimiento Browniano
valores propios