The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions
A class of fourth-order boundary value problems with transmission conditions are investigated. By constructing we prove that these class of fourth order problems consist of finite number of eigenvalues. Further, we show that the number of eigenvalues depend on the order of the equation, partition of...
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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/10.1155/2014/175489 |
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| _version_ | 1832559447088562176 |
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| author | Fang-zhen Bo Ji-jun Ao |
| author_facet | Fang-zhen Bo Ji-jun Ao |
| author_sort | Fang-zhen Bo |
| collection | DOAJ |
| description | A class of fourth-order boundary value problems with transmission conditions are investigated. By constructing we prove that these class of fourth order problems consist of finite number of eigenvalues. Further, we show that the number of eigenvalues depend on the order of the equation, partition of
the domain interval, and the boundary conditions (including the transmission conditions) given. |
| format | Article |
| id | doaj-art-c9da717ad2a143ccb082d511398f9355 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c9da717ad2a143ccb082d511398f93552025-02-03T01:30:08ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/175489175489The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission ConditionsFang-zhen Bo0Ji-jun Ao1Normal College, Hohhot Vocational College, Hohhot 010051, ChinaCollege of Sciences, Inner Mongolia University of Technology, Hohhot 010051, ChinaA class of fourth-order boundary value problems with transmission conditions are investigated. By constructing we prove that these class of fourth order problems consist of finite number of eigenvalues. Further, we show that the number of eigenvalues depend on the order of the equation, partition of the domain interval, and the boundary conditions (including the transmission conditions) given.http://dx.doi.org/10.1155/2014/175489 |
| spellingShingle | Fang-zhen Bo Ji-jun Ao The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions Abstract and Applied Analysis |
| title | The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions |
| title_full | The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions |
| title_fullStr | The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions |
| title_full_unstemmed | The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions |
| title_short | The Finite Spectrum of Fourth-Order Boundary Value Problems with Transmission Conditions |
| title_sort | finite spectrum of fourth order boundary value problems with transmission conditions |
| url | http://dx.doi.org/10.1155/2014/175489 |
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