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ON A DISCUSSION OF NONLINEAR INTEGRAL EQUATIONOF TYPE VOLTERRA-HAMMERSTEIN

M. M. EL-Borai|M. A. Abdou|M. M. EL-Kojok
한국수학교육학회|2008.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제15권 제1호|pp. 1-17

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참고문헌

키워드

Macdonald functionnonlinear integral equationVolterra-Hammerstein typedegenerate ker- nel methodpotential kernelnonlinear algebraic system.
주제분류수학

초록

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.

Abstract

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.

참고문헌 (26)

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