Dependence of eigenvalues of 2nth order boundary value transmission problems
Abstract The present paper deals with the dependence of eigenvalues of 2nth order boundary value transmission problems on the problem. The eigenvalues depend not only continuously but also smoothly on the problem. Some new differential expressions of eigenvalues with respect to an endpoint, a coeffi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-09-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-017-0876-8 |
| _version_ | 1818766043286339584 |
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| author | Kun Li Jiong Sun Xiaoling Hao |
| author_facet | Kun Li Jiong Sun Xiaoling Hao |
| author_sort | Kun Li |
| collection | DOAJ |
| description | Abstract The present paper deals with the dependence of eigenvalues of 2nth order boundary value transmission problems on the problem. The eigenvalues depend not only continuously but also smoothly on the problem. Some new differential expressions of eigenvalues with respect to an endpoint, a coefficient, the weight function, boundary conditions, and transmission conditions, are given. |
| first_indexed | 2024-12-18T08:27:43Z |
| format | Article |
| id | doaj.art-dcd51e98f94d4874bc7417f0180ca985 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-18T08:27:43Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-dcd51e98f94d4874bc7417f0180ca9852022-12-21T21:14:33ZengSpringerOpenBoundary Value Problems1687-27702017-09-012017111410.1186/s13661-017-0876-8Dependence of eigenvalues of 2nth order boundary value transmission problemsKun Li0Jiong Sun1Xiaoling Hao2Department of Mathematics, Inner Mongolia UniversityDepartment of Mathematics, Inner Mongolia UniversityDepartment of Mathematics, Inner Mongolia UniversityAbstract The present paper deals with the dependence of eigenvalues of 2nth order boundary value transmission problems on the problem. The eigenvalues depend not only continuously but also smoothly on the problem. Some new differential expressions of eigenvalues with respect to an endpoint, a coefficient, the weight function, boundary conditions, and transmission conditions, are given.http://link.springer.com/article/10.1186/s13661-017-0876-8transmission conditionsdependence of eigenvaluescontinuitydifferential expression |
| spellingShingle | Kun Li Jiong Sun Xiaoling Hao Dependence of eigenvalues of 2nth order boundary value transmission problems Boundary Value Problems transmission conditions dependence of eigenvalues continuity differential expression |
| title | Dependence of eigenvalues of 2nth order boundary value transmission problems |
| title_full | Dependence of eigenvalues of 2nth order boundary value transmission problems |
| title_fullStr | Dependence of eigenvalues of 2nth order boundary value transmission problems |
| title_full_unstemmed | Dependence of eigenvalues of 2nth order boundary value transmission problems |
| title_short | Dependence of eigenvalues of 2nth order boundary value transmission problems |
| title_sort | dependence of eigenvalues of 2nth order boundary value transmission problems |
| topic | transmission conditions dependence of eigenvalues continuity differential expression |
| url | http://link.springer.com/article/10.1186/s13661-017-0876-8 |
| work_keys_str_mv | AT kunli dependenceofeigenvaluesof2nthorderboundaryvaluetransmissionproblems AT jiongsun dependenceofeigenvaluesof2nthorderboundaryvaluetransmissionproblems AT xiaolinghao dependenceofeigenvaluesof2nthorderboundaryvaluetransmissionproblems |