Open AccessInvestigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition
Author(s) -
Kristina Skučaitė-Bingelė,
Artūras Štikonas
Publication year - 2013
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.a.2013.16
Subject(s) - sturm–liouville theory , boundary value problem , spectrum (functional analysis) , mathematics , mathematical analysis , boundary (topology) , type (biology) , function (biology) , robin boundary condition , mixed boundary condition , physics , quantum mechanics , ecology , evolutionary biology , biology
In this paper, we analyze the Sturm–Liouville problem with one classical first type boundary condition and the other Samarskii–Bitsadze type nonlocal boundary condition. We investigate how the spectrum of this problem depends on the parameters γ and ξ of the nonlocal boundary condition. Some new results are given as graphs of the characteristic function.