한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)
- 제15권1호
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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)
- 발행 : 2008.02.28
초록
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.
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