Positive solutions for a system of nonlinear Hammerstein integral equations and applications
نویسندگان
چکیده
منابع مشابه
Positive solutions for a system of nonlinear Hammerstein integral equations and applications
The paper deals with the existence and multiplicity of positive solutions for the system of nonlinear Hammerstein integral equations u(x) = ∫ 1 0 k(x, y)f1(y, u(y), v(y), w(y))dy, v(x) = ∫ 1 0 k(x, y)f2(y, u(y), v(y), w(y))dy, w(x) = ∫ 1 0 k(x, y)f3(y, u(y), v(y), w(y))dy. We use concave functions to characterize growing and interacting behaviors of our nonlinearities so that f1, f2, f3 co...
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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 equations whi...
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Positive solutions of systems of Hammerstein integral equations are studied by using the theory of the fixed-point index for compact maps defined on cones in Banach spaces. Criteria for the fixed-point index of the Hammerstein integral operators being 1 or 0 are given. These criteria are generalizations of previous results on a single Hammerstein integral operator. Some of criteria are new and ...
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ژورنال
عنوان ژورنال: Journal of Integral Equations and Applications
سال: 2012
ISSN: 0897-3962
DOI: 10.1216/jie-2012-24-1-131