The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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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
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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.

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