Abstract
For the second-order m-point boundary value problem u ″(t)+f(t,u)=0, 0⩽t⩽1, u(0)=0,u(1)−∑ i=1 m−2k iu(ξ i)=0, where k i>0 (i=1,2,…,m−2) , 0< ξ 1< ξ 2<⋯< ξ m−2 <1, growth conditions are imposed on f which yield the existence of at least three positive solutions by using the Leggett–Williams fixed point theorem. The associated Green's function for the m-point boundary value problem is also given.
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