Investigation of complex eigenvalues for a stationary problem with two-point nonlocal boundary condition

Lietuvos Matematikos Rinkinys

Artūras Štikonas¹  Kristina Skučaitė-Bingelė¹ 

[1] Vilnius University;

关键词: complex eigenvalues;    two-point Nonlocal Boundary Condition;    Finite-Diference Scheme;   

DOI  :  10.15388/LMR.2011.sm04

来源: DOAJ

【 摘 要 】

The Sturm–Liouville problem with one classical and another two-point nonlocal boundary condition is considered in this paper. These problems with nonlocal boundary condition are not self-adjoint, so the spectrum has complex points. We investigate how the spectrum in the complex plane of these problems (and for the Finite-Difference Schemes) depends on parameters γ  and ξ  of the nonlocal boundary conditions.

【 授权许可】

Unknown