A nonlocal problem for fourth order hyperbolic equations with multiple characteristic
In this paper, we study fourth order differential equations with multiple characteristics and dominated low terms. We prove the existence and uniqueness of a Riemann function for this equation, and then provide an integral representation of the general solution of the Goursat problem. We also provid...
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| Format: | Article |
| Language: | English |
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Texas State University
2002-10-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/85/abstr.html |
| _version_ | 1818379612453863424 |
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| author | Bidzina Midodashvili |
| author_facet | Bidzina Midodashvili |
| author_sort | Bidzina Midodashvili |
| collection | DOAJ |
| description | In this paper, we study fourth order differential equations with multiple characteristics and dominated low terms. We prove the existence and uniqueness of a Riemann function for this equation, and then provide an integral representation of the general solution of the Goursat problem. We also provide sufficient conditions for the solvability of a nonlocal problem. Submitted July 16, 2002. Published October 4, 2002. Math Subject Classifications: 35L35 Key Words: Goursat problem; Riemann function |
| first_indexed | 2024-12-14T02:05:33Z |
| format | Article |
| id | doaj.art-ec13f92ae1fa4d8299cd06e55028518c |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-14T02:05:33Z |
| publishDate | 2002-10-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-ec13f92ae1fa4d8299cd06e55028518c2022-12-21T23:20:54ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-10-0120028517A nonlocal problem for fourth order hyperbolic equations with multiple characteristicBidzina MidodashviliIn this paper, we study fourth order differential equations with multiple characteristics and dominated low terms. We prove the existence and uniqueness of a Riemann function for this equation, and then provide an integral representation of the general solution of the Goursat problem. We also provide sufficient conditions for the solvability of a nonlocal problem. Submitted July 16, 2002. Published October 4, 2002. Math Subject Classifications: 35L35 Key Words: Goursat problem; Riemann functionhttp://ejde.math.txstate.edu/Volumes/2002/85/abstr.htmlGoursat problemRiemann function |
| spellingShingle | Bidzina Midodashvili A nonlocal problem for fourth order hyperbolic equations with multiple characteristic Electronic Journal of Differential Equations Goursat problem Riemann function |
| title | A nonlocal problem for fourth order hyperbolic equations with multiple characteristic |
| title_full | A nonlocal problem for fourth order hyperbolic equations with multiple characteristic |
| title_fullStr | A nonlocal problem for fourth order hyperbolic equations with multiple characteristic |
| title_full_unstemmed | A nonlocal problem for fourth order hyperbolic equations with multiple characteristic |
| title_short | A nonlocal problem for fourth order hyperbolic equations with multiple characteristic |
| title_sort | nonlocal problem for fourth order hyperbolic equations with multiple characteristic |
| topic | Goursat problem Riemann function |
| url | http://ejde.math.txstate.edu/Volumes/2002/85/abstr.html |
| work_keys_str_mv | AT bidzinamidodashvili anonlocalproblemforfourthorderhyperbolicequationswithmultiplecharacteristic AT bidzinamidodashvili nonlocalproblemforfourthorderhyperbolicequationswithmultiplecharacteristic |