Existence and uniqueness for a two-point interface boundary value problem
We obtain sufficient conditions, easily verifiable, for the existence and uniqueness of piecewise smooth solutions of a linear two-point boundary-value problem with general interface conditions. The coefficients of the differential equation may have jump discontinuities at the interface point. A...
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| Format: | Article |
| Language: | English |
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Texas State University
2013-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/242/abstr.html |
| _version_ | 1811301210557251584 |
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| author | Rakhim Aitbayev |
| author_facet | Rakhim Aitbayev |
| author_sort | Rakhim Aitbayev |
| collection | DOAJ |
| description | We obtain sufficient conditions, easily verifiable, for the existence
and uniqueness of piecewise smooth solutions of a linear two-point
boundary-value problem with general interface conditions.
The coefficients of the differential equation may have jump discontinuities
at the interface point. As an example, the conditions obtained are
applied to a problem with typical interface such as perfect
contact, non-perfect contact, and flux jump conditions. |
| first_indexed | 2024-04-13T07:04:53Z |
| format | Article |
| id | doaj.art-daae0521e5984a4c87561df51a90353e |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-13T07:04:53Z |
| publishDate | 2013-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-daae0521e5984a4c87561df51a90353e2022-12-22T02:57:02ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912013-10-012013242,115Existence and uniqueness for a two-point interface boundary value problemRakhim Aitbayev0 New Mexico Institute of Mining and Tech., Socorro, NM USA We obtain sufficient conditions, easily verifiable, for the existence and uniqueness of piecewise smooth solutions of a linear two-point boundary-value problem with general interface conditions. The coefficients of the differential equation may have jump discontinuities at the interface point. As an example, the conditions obtained are applied to a problem with typical interface such as perfect contact, non-perfect contact, and flux jump conditions.http://ejde.math.txstate.edu/Volumes/2013/242/abstr.htmlInterface conditionstransmission conditionstwo-point boundary value problemdiscontinuous coefficientsexistence and uniqueness |
| spellingShingle | Rakhim Aitbayev Existence and uniqueness for a two-point interface boundary value problem Electronic Journal of Differential Equations Interface conditions transmission conditions two-point boundary value problem discontinuous coefficients existence and uniqueness |
| title | Existence and uniqueness for a two-point interface boundary value problem |
| title_full | Existence and uniqueness for a two-point interface boundary value problem |
| title_fullStr | Existence and uniqueness for a two-point interface boundary value problem |
| title_full_unstemmed | Existence and uniqueness for a two-point interface boundary value problem |
| title_short | Existence and uniqueness for a two-point interface boundary value problem |
| title_sort | existence and uniqueness for a two point interface boundary value problem |
| topic | Interface conditions transmission conditions two-point boundary value problem discontinuous coefficients existence and uniqueness |
| url | http://ejde.math.txstate.edu/Volumes/2013/242/abstr.html |
| work_keys_str_mv | AT rakhimaitbayev existenceanduniquenessforatwopointinterfaceboundaryvalueproblem |