Characterization of Eigenvalues in Spectral Gap for Singular Differential Operators
The spectral properties for n order differential operators are considered. When given a spectral gap (a,b) of the minimal operator T0 with deficiency index r, arbitrary m points βi (i=1,2,…,m) in (a,b), and a positive integer function p such that ∑i=1mp(βi)≤r, T0 has a self-adjoint extension T̃ suc...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/271657 |
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| _version_ | 1850210380979109888 |
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| author | Zhaowen Zheng Wenju Zhang |
| author_facet | Zhaowen Zheng Wenju Zhang |
| author_sort | Zhaowen Zheng |
| collection | DOAJ |
| description | The spectral properties for n order differential operators are considered. When given a spectral gap (a,b) of the minimal operator T0 with deficiency index r, arbitrary m points βi (i=1,2,…,m) in (a,b), and a positive integer function p such that ∑i=1mp(βi)≤r, T0 has a self-adjoint extension T̃ such that each βi (i=1,2,…,m) is an eigenvalue of T̃ with multiplicity at least p(βi). |
| format | Article |
| id | doaj-art-940561998b674170ab31df310a2e7ed9 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-940561998b674170ab31df310a2e7ed92025-08-20T02:09:47ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/271657271657Characterization of Eigenvalues in Spectral Gap for Singular Differential OperatorsZhaowen Zheng0Wenju Zhang1School of Mathematical Sciences, Qufu Normal University, Shandong, Qufu 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Shandong, Qufu 273165, ChinaThe spectral properties for n order differential operators are considered. When given a spectral gap (a,b) of the minimal operator T0 with deficiency index r, arbitrary m points βi (i=1,2,…,m) in (a,b), and a positive integer function p such that ∑i=1mp(βi)≤r, T0 has a self-adjoint extension T̃ such that each βi (i=1,2,…,m) is an eigenvalue of T̃ with multiplicity at least p(βi).http://dx.doi.org/10.1155/2012/271657 |
| spellingShingle | Zhaowen Zheng Wenju Zhang Characterization of Eigenvalues in Spectral Gap for Singular Differential Operators Abstract and Applied Analysis |
| title | Characterization of Eigenvalues in Spectral Gap for Singular Differential Operators |
| title_full | Characterization of Eigenvalues in Spectral Gap for Singular Differential Operators |
| title_fullStr | Characterization of Eigenvalues in Spectral Gap for Singular Differential Operators |
| title_full_unstemmed | Characterization of Eigenvalues in Spectral Gap for Singular Differential Operators |
| title_short | Characterization of Eigenvalues in Spectral Gap for Singular Differential Operators |
| title_sort | characterization of eigenvalues in spectral gap for singular differential operators |
| url | http://dx.doi.org/10.1155/2012/271657 |
| work_keys_str_mv | AT zhaowenzheng characterizationofeigenvaluesinspectralgapforsingulardifferentialoperators AT wenjuzhang characterizationofeigenvaluesinspectralgapforsingulardifferentialoperators |