Investigation of the Sturm–Liouville problems with integral boundary condition

Agnė Skučaitė; Artūras Štikonas

doi:10.15388/LMR.2011.sm03

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.

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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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