| Title |
Spectrum curves for a discrete Sturm--Liouville problem with one integral boundary condition / |
| Authors |
Bingelė, Kristina ; Bankauskienė, Agnė ; Štikonas, Artūras |
| DOI |
10.15388/NA.2019.5.5 |
| Full Text |
|
| Is Part of |
Nonlinear analysis : modelling and control.. Vilnius : Vilnius University Press. 2019, vol. 24, no. 5, p. 755-774.. ISSN 1392-5113. eISSN 2335-8963 |
| Keywords [eng] |
Sturm-Liouville problem ; finite difference sheme ; nonlocal boundary condition ; complex eigenvalues ; spectrum curves |
| Abstract [eng] |
This paper presents new results on the spectrum on complex plane for discrete Sturm–Liouville problem with one integral type nonlocal boundary condition depending on three parameters: γ, ξ_1 and ξ_2. The integral condition is approximated by the trapezoidal rule. The dependence on parameter γ is investigated by using characteristic function method and analysing spectrum curves which gives qualitative view of the spectrum for fixed ξ_1 = m_1 / n and ξ_2 = m_2 / n, where n is discretisation parameter. Some properties of the spectrum curves are formulated and illustrated in figures for various ξ_1 and ξ_2. |
| Published |
Vilnius : Vilnius University Press |
| Type |
Journal article |
| Language |
English |
| Publication date |
2019 |
