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A positive fixed point theorem with applications to systems of Hammerstein integral equations - MaRDI portal

A positive fixed point theorem with applications to systems of Hammerstein integral equations (Q481622)

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A positive fixed point theorem with applications to systems of Hammerstein integral equations
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    A positive fixed point theorem with applications to systems of Hammerstein integral equations (English)
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    12 December 2014
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    The authors prove two fixed point theorems concerning non-decreasing and non-increasing operators in a shell. The approaches are the monotone iterative method and classical fixed point index. As applications, they prove the existence of positive solutions for systems of nonlinear Hammerstein integral equations.
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    boundary value problem
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    fixed point index
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    positive solution
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    cone
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