Open AccessInvestigation of the spectrum of the Sturm–Liouville problem with a nonlocal integral condition
Author(s) -
Agnė Skučaitė,
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.2013.15
Subject(s) - spectrum (functional analysis) , mathematics , boundary value problem , interval (graph theory) , mathematical analysis , sturm–liouville theory , integral equation , order (exchange) , boundary (topology) , physics , combinatorics , quantum mechanics , finance , economics
This paper presents some new results on the spectrum for the second order dif-ferential problem with one integral type nonlocal boundary condition (NBC). We investigate how the spectrum of this problem depends on the integral nonlocal boundary condition pa-rameters γ, ξ and the symmetric interval in the integral. Some new results are given on the complex spectra of this problem. Many results are presented as graphs of real and complex characteristic functions.