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ON A DISCUSSION OF NONLINEAR INTEGRAL EQUATION OF TYPE VOLTERRA-FREDHOLM
M. M. EL-Borai,M. A. Abdou,M. M. EL-Kojok 한국산업응용수학회 2006 Journal of the Korean Society for Industrial and A Vol.10 No.2-1
Here, we consider the existence and uniqueness solution of nonlinear integral equation of the second kind of type Volterra-Fredholm. Also, the normality and continuity of the integral operator are discussed. The solution is obtained, and many applications in one, two and three dimensionals are considered.
ON A DISCUSSION OF NONLINEAR INTEGRAL EQUATIONOF TYPE VOLTERRA-HAMMERSTEIN
M. M. EL-Borai,M. A. Abdou,M. M. EL-Kojok 한국수학교육학회 2008 純粹 및 應用數學 Vol.15 No.1
Here, we consider the existence and uniqueness solution of nonlinear integral equation of the second kind of type Volterra-Hammerstein. Also, the nor- mality 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.