A non-local problem with integral conditions for hyperbolic equations
A linear second-order hyperbolic equation with forcing and integral constraints on the solution is converted to a non-local hyperbolic problem. Using the Riesz representation theorem and the Schauder fixed point theorem, we prove the existence and uniqueness of a generalized solution.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1999-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1999/45/abstr.html |
| _version_ | 1818157601916977152 |
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| author | L. S. Pulkina |
| author_facet | L. S. Pulkina |
| author_sort | L. S. Pulkina |
| collection | DOAJ |
| description | A linear second-order hyperbolic equation with forcing and integral constraints on the solution is converted to a non-local hyperbolic problem. Using the Riesz representation theorem and the Schauder fixed point theorem, we prove the existence and uniqueness of a generalized solution. |
| first_indexed | 2024-12-11T15:16:48Z |
| format | Article |
| id | doaj.art-432c8ee410504398b0dda9822f03bbb1 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T15:16:48Z |
| publishDate | 1999-11-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-432c8ee410504398b0dda9822f03bbb12022-12-22T01:00:33ZengTexas State UniversityElectronic Journal of Differential Equations1072-66911999-11-0119994516A non-local problem with integral conditions for hyperbolic equationsL. S. PulkinaA linear second-order hyperbolic equation with forcing and integral constraints on the solution is converted to a non-local hyperbolic problem. Using the Riesz representation theorem and the Schauder fixed point theorem, we prove the existence and uniqueness of a generalized solution.http://ejde.math.txstate.edu/Volumes/1999/45/abstr.htmlNon-local problemgeneralized solution. |
| spellingShingle | L. S. Pulkina A non-local problem with integral conditions for hyperbolic equations Electronic Journal of Differential Equations Non-local problem generalized solution. |
| title | A non-local problem with integral conditions for hyperbolic equations |
| title_full | A non-local problem with integral conditions for hyperbolic equations |
| title_fullStr | A non-local problem with integral conditions for hyperbolic equations |
| title_full_unstemmed | A non-local problem with integral conditions for hyperbolic equations |
| title_short | A non-local problem with integral conditions for hyperbolic equations |
| title_sort | non local problem with integral conditions for hyperbolic equations |
| topic | Non-local problem generalized solution. |
| url | http://ejde.math.txstate.edu/Volumes/1999/45/abstr.html |
| work_keys_str_mv | AT lspulkina anonlocalproblemwithintegralconditionsforhyperbolicequations AT lspulkina nonlocalproblemwithintegralconditionsforhyperbolicequations |