Three positive solutions of a system of Fredholm integral equations Original Research Article

In this paper, existence criteria for at least three positive solutions to the following system of Fredholm integral equations: View the MathML sourceui(t)=∫01gi(t,s)fi(s,u1(s),u2(s),...,un(s))ds,t∈[0,1],1≤i≤n, Turn MathJax on 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.