Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems
This paper is concerned with the eigenvalues of perturbed higher-order discrete vector boundary value problems. A suitable admissible function space is first introduced, a new variational formula of eigenvalues is then established under certain nonsingularity conditions, and error estimates of eigen...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/437506 |
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| _version_ | 1850177861247303680 |
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| author | Haiyan Lv Yuming Shi Guojing Ren |
| author_facet | Haiyan Lv Yuming Shi Guojing Ren |
| author_sort | Haiyan Lv |
| collection | DOAJ |
| description | This paper is concerned with the eigenvalues of perturbed higher-order discrete vector boundary value problems. A suitable admissible function space is first introduced, a new variational formula of eigenvalues is then established under certain nonsingularity conditions, and error estimates of eigenvalues of problems with small perturbation are finally given by using the variational formula. As a direct consequence, continuous dependence of eigenvalues on boundary value problems is obtained under the nonsingularity conditions. In addition, two special perturbed cases are discussed. |
| format | Article |
| id | doaj-art-bd4806beb1574a1a86cc7fe4f6d7b2a0 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bd4806beb1574a1a86cc7fe4f6d7b2a02025-08-20T02:18:54ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/437506437506Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value ProblemsHaiyan Lv0Yuming Shi1Guojing Ren2School of Mathematics and Statistics, Anyang Normal University, Anyang, Henan 455000, ChinaSchool of Mathematics, Shandong University, Jinan, Shandong 250100, ChinaSchool of Statistics and Mathematics, Shandong Provincial Key Laboratory of Digital Media Technology, Shandong University of Finance and Economics, Jinan, Shandong 250014, ChinaThis paper is concerned with the eigenvalues of perturbed higher-order discrete vector boundary value problems. A suitable admissible function space is first introduced, a new variational formula of eigenvalues is then established under certain nonsingularity conditions, and error estimates of eigenvalues of problems with small perturbation are finally given by using the variational formula. As a direct consequence, continuous dependence of eigenvalues on boundary value problems is obtained under the nonsingularity conditions. In addition, two special perturbed cases are discussed.http://dx.doi.org/10.1155/2014/437506 |
| spellingShingle | Haiyan Lv Yuming Shi Guojing Ren Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems Abstract and Applied Analysis |
| title | Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems |
| title_full | Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems |
| title_fullStr | Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems |
| title_full_unstemmed | Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems |
| title_short | Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems |
| title_sort | error estimate of eigenvalues of perturbed higher order discrete vector boundary value problems |
| url | http://dx.doi.org/10.1155/2014/437506 |
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