The Fucík spectrum for nonlocal BVP with Sturm–Liouville boundary condition

Boundary value problem of the form x''=-μx++λx-, αx(0)+(1-α)x'(0)=0, ∫01 x(s)ds=0 is considered, where μ,λ∈ R and α∈ [0,1]. The explicit formulas for the spectrum of this problem are given and the spectra for some α values are constructed. Special attention is paid to the spectrum beh...

Full description

Bibliographic Details
Main Author: Natalija Sergejeva
Format: Article
Language:English
Published: Vilnius University Press 2014-10-01
Series:Nonlinear Analysis
Subjects:
Online Access:http://www.journals.vu.lt/nonlinear-analysis/article/view/13650