Investigation of the Sturm–Liouville problems with integral boundary condition
Articles
Agnė Skučaitė
Vilnius University
https://orcid.org/0000-0001-7650-8132
Artūras Štikonas
Vilnius University
http://orcid.org/0000-0002-5872-5501
Published 2011-12-22
https://doi.org/10.15388/LMR.2011.sm03
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Keywords

Finite-Difference Scheme
Nonlocal Boundary Condition
complex eigenvalues

How to Cite

Skučaitė A. and Štikonas A. (2011) “Investigation of the Sturm–Liouville problems with integral boundary condition”, Lietuvos matematikos rinkinys, 52(proc. LMS), pp. 297-302. doi: 10.15388/LMR.2011.sm03.

Abstract

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.

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