Open AccessInvestigation of the Sturm–Liouville problems with integral boundary condition
Author(s) -
Agnė Skučaitė,
Artūras Štikonas
Publication year - 2011
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2011.sm03
Subject(s) - mathematics , eigenvalues and eigenvectors , mathematical analysis , complex plane , boundary value problem , boundary (topology) , scheme (mathematics) , spectrum (functional analysis) , type (biology) , integral equation , order (exchange) , plane (geometry) , sturm–liouville theory , geometry , physics , quantum mechanics , ecology , biology , finance , economics
This paper presents some new results on the spectrum of a complex plane for the second order Finite-Difference Scheme with one integral type nonlocal boundary condition (NBC). We analyze how complex eigenvalues of these problems depend on the parameters of the integral NBC. The integral conditions are approximated by the trapezoidal rule or by Simpson’s rule.