6533b861fe1ef96bd12c4fbb
RESEARCH PRODUCT
The Fučík spectrum for nonlocal BVP with Sturm–Liouville boundary condition
Natalija Sergejevasubject
PhysicsFucík spectrumApplied MathematicsSturm–Liouville boundary conditionMathematical analysisSpectrum (functional analysis)lcsh:QA299.6-433Sturm–Liouville theorylcsh:AnalysisSpectral lineboundary value problemBoundary value problemAnalysisintegral conditiondescription
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 behavior at the points close to the coordinate origin.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-09-20 | Nonlinear Analysis: Modelling and Control |