Eigenvalue Problem for the Second Order Differential Equation with Nonlocal
The paper deals with numerical methods for eigenvalue problem for the second order ordinary differential operator with variable coefficient subject to nonlocal integral condition. FD-method (functional-discrete method) is derived and analyzed for calculating of eigenvalues, particulary complex eige...
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Vilnius University Press
2006-02-01
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| Series: | Nonlinear Analysis |
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| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14762 |
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doaj-a01a0966617d4ef69e9cebcbc1d4770a2020-11-25T01:49:19ZengVilnius University PressNonlinear Analysis1392-51132335-89632006-02-0111110.15388/NA.2006.11.1.14762Eigenvalue Problem for the Second Order Differential Equation with NonlocalB. Bandyrskii0I. Lazurchak1V. Makarov2M. Sapagovas3Lviv Polytechnic National University, UkraineDrogobych Pedagogical University, UkraineInstitute of Mathematics of NAS of Ukraine, UkraineInstitute of Mathematics and Informatics, Lithuania The paper deals with numerical methods for eigenvalue problem for the second order ordinary differential operator with variable coefficient subject to nonlocal integral condition. FD-method (functional-discrete method) is derived and analyzed for calculating of eigenvalues, particulary complex eigenvalues. The convergence of FD-method is proved. Finally numerical procedures are suggested and computational results are schown. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14762eigenvaluesnonlocal conditionfunctional-discrete methodconvergencesystems of symbolic mathematics |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
B. Bandyrskii I. Lazurchak V. Makarov M. Sapagovas |
| spellingShingle |
B. Bandyrskii I. Lazurchak V. Makarov M. Sapagovas Eigenvalue Problem for the Second Order Differential Equation with Nonlocal Nonlinear Analysis eigenvalues nonlocal condition functional-discrete method convergence systems of symbolic mathematics |
| author_facet |
B. Bandyrskii I. Lazurchak V. Makarov M. Sapagovas |
| author_sort |
B. Bandyrskii |
| title |
Eigenvalue Problem for the Second Order Differential Equation with Nonlocal |
| title_short |
Eigenvalue Problem for the Second Order Differential Equation with Nonlocal |
| title_full |
Eigenvalue Problem for the Second Order Differential Equation with Nonlocal |
| title_fullStr |
Eigenvalue Problem for the Second Order Differential Equation with Nonlocal |
| title_full_unstemmed |
Eigenvalue Problem for the Second Order Differential Equation with Nonlocal |
| title_sort |
eigenvalue problem for the second order differential equation with nonlocal |
| publisher |
Vilnius University Press |
| series |
Nonlinear Analysis |
| issn |
1392-5113 2335-8963 |
| publishDate |
2006-02-01 |
| description |
The paper deals with numerical methods for eigenvalue problem for the second order ordinary differential operator with variable coefficient subject to nonlocal integral condition. FD-method (functional-discrete method) is derived and analyzed for calculating of eigenvalues, particulary complex eigenvalues. The convergence of FD-method is proved. Finally numerical procedures are suggested and computational results are schown.
|
| topic |
eigenvalues nonlocal condition functional-discrete method convergence systems of symbolic mathematics |
| url |
http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14762 |
| work_keys_str_mv |
AT bbandyrskii eigenvalueproblemforthesecondorderdifferentialequationwithnonlocal AT ilazurchak eigenvalueproblemforthesecondorderdifferentialequationwithnonlocal AT vmakarov eigenvalueproblemforthesecondorderdifferentialequationwithnonlocal AT msapagovas eigenvalueproblemforthesecondorderdifferentialequationwithnonlocal |
| _version_ |
1725007274092527616 |