Abstract
In this paper, existence criteria for at least three positive solutions to the following system of Fredholm integral equations: u i ( t ) = ∫ 0 1 g i ( t , s ) f i ( s , u 1 ( s ) , u 2 ( s ) , ... , u n ( s ) ) d s , t ∈ [ 0 , 1 ] , 1 ≤ i ≤ n , are established by using the Leggett-Williams fixed-point theorem. The generality of the results obtained is illustrated through applications to some well-known boundary value problems.
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