Fredholm-Volterra integral equation with potential kernel
A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2≤a}, z=0, and T<∞. The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω]×[Ω]), while the kernel of Volterra integ...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005981 |
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doaj-aa1a46eb441f458c980d5c7876d9c47e2020-11-24T22:38:02ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126632133010.1155/S0161171201005981Fredholm-Volterra integral equation with potential kernelM. A. Abdou0A. A. El-Bary1Department of Mathematics, Faculty of Education, Alexandria University, EgyptDepartment of Basic and Applied Sciences, P.O. Box 1029 Alexandria, Arab Academy for Science and Technology and Maritime Transport, EgyptA method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2≤a}, z=0, and T<∞. The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω]×[Ω]), while the kernel of Volterra integral term is a positive and continuous function that belongs to the class C[0,T]. Also in this work the solution of Fredholm integral equation of the second and first kind with a potential kernel is discussed. Many interesting cases are derived and established in the paper.http://dx.doi.org/10.1155/S0161171201005981 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
M. A. Abdou A. A. El-Bary |
| spellingShingle |
M. A. Abdou A. A. El-Bary Fredholm-Volterra integral equation with potential kernel International Journal of Mathematics and Mathematical Sciences |
| author_facet |
M. A. Abdou A. A. El-Bary |
| author_sort |
M. A. Abdou |
| title |
Fredholm-Volterra integral equation with potential kernel |
| title_short |
Fredholm-Volterra integral equation with potential kernel |
| title_full |
Fredholm-Volterra integral equation with potential kernel |
| title_fullStr |
Fredholm-Volterra integral equation with potential kernel |
| title_full_unstemmed |
Fredholm-Volterra integral equation with potential kernel |
| title_sort |
fredholm-volterra integral equation with potential kernel |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2001-01-01 |
| description |
A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2≤a}, z=0, and T<∞. The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω]×[Ω]), while the kernel of Volterra integral term is a positive and continuous function that belongs to the class C[0,T]. Also in this work the solution of Fredholm integral equation of the second and first kind with a potential kernel is discussed. Many interesting cases are derived and established in the paper. |
| url |
http://dx.doi.org/10.1155/S0161171201005981 |
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AT maabdou fredholmvolterraintegralequationwithpotentialkernel AT aaelbary fredholmvolterraintegralequationwithpotentialkernel |
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