Mixed type of Fredholm-Volterra integral equation
In this paper, under certain conditions, the solution of mixed type of Fredholm-Volterra integral equation is discussed and obtained in the space <em>L_2</em> <em>(−1, 1) × C[0, T ], T < ∞</em>. Here, the singular part of kernel of Fredholm-Volterra integral term is establ...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Università degli Studi di Catania
2005-05-01
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| Series: | Le Matematiche |
| Subjects: | |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/137 |
| Summary: | In this paper, under certain conditions, the solution of mixed type of Fredholm-Volterra integral equation is discussed and obtained in the space <em>L_2</em> <em>(−1, 1) × C[0, T ], T < ∞</em>. Here, the singular part of kernel of Fredholm-Volterra integral term is established in a logarithmic form, while the kernel of Fredholm-Volterra integral term is a positive continuous function in time and belongs to the class <em>C[0, T ], T < ∞</em>. The solution, when the mixed type integral, takes a system form of Fredholm integral equation of the first or second kind are discussed.<br /> |
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| ISSN: | 0373-3505 2037-5298 |