On a class of singular hyperbolic equation with a weighted integral condition
In this paper, we study a mixed problem with a nonlocal condition for a class of second order singular hyperbolic equations. We prove the existence and uniqueness of a strong solution. The proof is based on a priori estimate and on the density of the range of the operator generated by the studied pr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171299225112 |
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| _version_ | 1832548445872717824 |
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| author | Said Mesloub Abdelfatah Bouziani |
| author_facet | Said Mesloub Abdelfatah Bouziani |
| author_sort | Said Mesloub |
| collection | DOAJ |
| description | In this paper, we study a mixed problem with a nonlocal condition
for a class of second order singular hyperbolic equations. We prove the existence and uniqueness of a strong solution. The proof is based on a priori estimate and on the density of the range of the operator generated by the studied problem. |
| format | Article |
| id | doaj-art-05b86d279fb5489b87a26f2a9a67da0b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-05b86d279fb5489b87a26f2a9a67da0b2025-02-03T06:14:01ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122351151910.1155/S0161171299225112On a class of singular hyperbolic equation with a weighted integral conditionSaid Mesloub0Abdelfatah Bouziani1Département de Mathématiques, Centre Universitaire de Tebessa, 12000, AlgeriaDépartement de Mathématiques, Centre Universitaire d'Oum El Baouagui, BP. 565, 04000, AlgeriaIn this paper, we study a mixed problem with a nonlocal condition for a class of second order singular hyperbolic equations. We prove the existence and uniqueness of a strong solution. The proof is based on a priori estimate and on the density of the range of the operator generated by the studied problem.http://dx.doi.org/10.1155/S0161171299225112Singular hyperbolic equationweighted integral conditiona priori estimatestrong solution. |
| spellingShingle | Said Mesloub Abdelfatah Bouziani On a class of singular hyperbolic equation with a weighted integral condition International Journal of Mathematics and Mathematical Sciences Singular hyperbolic equation weighted integral condition a priori estimate strong solution. |
| title | On a class of singular hyperbolic equation with a weighted integral condition |
| title_full | On a class of singular hyperbolic equation with a weighted integral condition |
| title_fullStr | On a class of singular hyperbolic equation with a weighted integral condition |
| title_full_unstemmed | On a class of singular hyperbolic equation with a weighted integral condition |
| title_short | On a class of singular hyperbolic equation with a weighted integral condition |
| title_sort | on a class of singular hyperbolic equation with a weighted integral condition |
| topic | Singular hyperbolic equation weighted integral condition a priori estimate strong solution. |
| url | http://dx.doi.org/10.1155/S0161171299225112 |
| work_keys_str_mv | AT saidmesloub onaclassofsingularhyperbolicequationwithaweightedintegralcondition AT abdelfatahbouziani onaclassofsingularhyperbolicequationwithaweightedintegralcondition |