Investigation of spectrum curves for a Sturm-Liouville problem with two-point nonlocal boundary conditions

Mathematical Modelling and Analysis

Agnė Bankauskienė¹  Kristina Bingelė²  Artūras Štikonas² 

[1] Bioinformatics and Biostatistics Centre, Vilnius University, Santariškių str. 2, LT-08661 Vilnius, Lithuania;Institute of Applied Mathematics, Vilnius University, Naugarduko str. 24, LT-03225 Vilnius, Lithuania;

关键词: Sturm–Liouville problem;    nonlocal two-point condition;    eigenvalues;    critical points;    spectrum curves;   

DOI  :  10.3846/mma.2020.10787

来源: DOAJ

【 摘 要 】

The article investigates the Sturm–Liouville problem with one classical and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this function depend on parameters in nonlocal boundary condition. Properties of the Spectrum Curves are formulated and illustrated in figures for various values of parameter ξ.

【 授权许可】

Unknown