Nonlinear integral inclusions of Hammerstein type

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ANALYTICAL-NUMERICAL SOLUTION FOR NONLINEAR INTEGRAL EQUATIONS OF HAMMERSTEIN TYPE

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using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of hammerstein type . the mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). the procedure of this method is so fast and don't need high cpu and complicated programming. the advantages of this method are that we can applied for those integral equation...

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Nonlinear Integral Equations of the Hammerstein Type(0

fails to possess a solution in general if X is equal to any of the characteristic values X¡, ¿ = 1,2,3, , of the kernel __(x, y), it is not surprising that all treatments of (1) have been limited to the cases in which equation (2) is in some sense (to be made more precise later) a majorant for (1) when X =Xi, the smallest characteristic value of F"(x, y). Thus, if FT(x, y) is assumed to be posi...

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ژورنال

عنوان ژورنال: Topological Methods in Nonlinear Analysis

سال: 1995

ISSN: 1230-3429

DOI: 10.12775/tmna.1995.007