Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition

Kristina Skučaitė-Bingelė; Artūras Štikonas

doi:10.15388/LMR.a.2013.16

Articles

Kristina Skučaitė-Bingelė

Vilnius University

https://orcid.org/0000-0002-8420-0477

Artūras Štikonas

Vilnius University

http://orcid.org/0000-0002-5872-5501

Published 2013-12-15

https://doi.org/10.15388/LMR.a.2013.16

PDF

Keywords

two-point Nonlocal Boundary Condition
Sturm–Liouville problem,
complex eigenvalues

How to Cite

Skučaitė-Bingelė, K. and Štikonas, A. (2013) “Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition”, Lietuvos matematikos rinkinys, 54(A), pp. 73–78. doi:10.15388/LMR.a.2013.16.

Download Citation

Abstract

In this paper, we analyze the Sturm–Liouville problem with one classical first type boundary condition and the other Samarskii–Bitsadze type nonlocal boundary condition. We investigate how the spectrum of this problem depends on the parameters γ and ξ of the nonlocal boundary condition. Some new results are given as graphs of the characteristic function.

PDF

Downloads

Download data is not yet available.

Most read articles in this journal

Jonas Vitkauskas, Artūras Štikonas, Relations between spectrum curves of discrete Sturm-Liouville problem with nonlocal boundary conditions and graph theory , Lietuvos matematikos rinkinys: Vol. 61 (2020): Ser. A
Jonas Vitkauskas, Artūras Štikonas, Relations between Spectrum Curves of Discrete Sturm-Liouville Problem with Nonlocal Boundary Conditions and Graph Theory. II , Lietuvos matematikos rinkinys: Vol. 62 (2021): Ser. A
Gailė Paukštaitė, Artūras Štikonas, Nullspace of the m-th order discrete problem with nonlocal conditions , Lietuvos matematikos rinkinys: Vol. 57 (2016): Ser. A
Artūras Štikonas, Editorial Board and Table of Contents , Lietuvos matematikos rinkinys: Vol. 62 (2021): Ser. A
Agnė Skučaitė, Artūras Štikonas, Zeroes and poles of a characteristic function for Sturm–Liouville problem with nonlocal integral condition , Lietuvos matematikos rinkinys: Vol. 56 (2015): Ser. A
Jurij Novickij, Artūras Štikonas, On the equivalence of discrete Sturm–Liouville problem with nonlocal boundary conditions to the algebraic eigenvalue problem , Lietuvos matematikos rinkinys: Vol. 56 (2015): Ser. A
Artūras Štikonas, Editorial Board and Table of Contents , Lietuvos matematikos rinkinys: Vol. 60 (2019): Ser. A
Svetlana Roman, Artūras Štikonas, Linear ODE with nonlocal boundary conditions and Green’s functions for such problems , Lietuvos matematikos rinkinys: Vol. 51 (2010)
Kristina Skučaitė-Bingelė, Artūras Štikonas, Investigation of complex eigenvalues for a stationary problem with two-point nonlocal boundary condition , Lietuvos matematikos rinkinys: Vol. 52 (2011)
Gailė Paukštaitė, Artūras Štikonas, Investigation of matrix nullity for the second order discrete nonlocal boundary value problem , Lietuvos matematikos rinkinys: Vol. 54 (2013): Ser. A

1 2 3 4 5 > >>