The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 15 Issue 1
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- Pages.1-17
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- 2008
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
ON A DISCUSSION OF NONLINEAR INTEGRAL EQUATION OF TYPE VOLTERRA-HAMMERSTEIN
- El-Borai, M.M. (Department of Mathematics, Faculty of Science, Alexandria University) ;
- Abdou, M.A. (Department of Mathematics, Faculty of Education, Alexandria University) ;
- El-Kojok, M.M. (Department of Mathematics, Faculty of Science, Alexandria University)
- Published : 2008.02.28
Abstract
Here, we consider the existence and uniqueness solution of nonlinear integral equation of the second kind of type Volterra-Hammerstein. Also, the normality and continuity of the integral operator are discussed. A numerical method is used to obtain a system of nonlinear integral equations in position. The solution is obtained, and many applications in one, two and three dimensionals are considered.
Keywords
- nonlinear integral equation;
- Volterra-Hammerstein type;
- degenerate kernel method;
- potential kernel;
- Macdonald function;
- nonlinear algebraic system