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Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems
Joint Authors
Shi, Yuming
Lv, Haiyan
Ren, Guojing
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-31
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Lv, Haiyan& Shi, Yuming& Ren, Guojing. 2013. Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-19.
https://search.emarefa.net/detail/BIM-1013937
Modern Language Association (MLA)
Lv, Haiyan…[et al.]. Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems. Abstract and Applied Analysis No. 2014 (2014), pp.1-19.
https://search.emarefa.net/detail/BIM-1013937
American Medical Association (AMA)
Lv, Haiyan& Shi, Yuming& Ren, Guojing. Error Estimate of Eigenvalues of Perturbed Higher-Order Discrete Vector Boundary Value Problems. Abstract and Applied Analysis. 2013. Vol. 2014, no. 2014, pp.1-19.
https://search.emarefa.net/detail/BIM-1013937
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013937