关键词: semipositone, superlinear, singular m-point boundary value, fixed point theorem, positive solution

Abstract: By applying fixed point theorem, the existence of positive solution is considered for superlinear semipositone singular m-point boundary value problem -(Lφ)(x) = ···, f ∈ C[(0,1) × R⁺,R⁺], f(x,φ) may be singular at x = 0 and x = 1, g(x):(0,1) → R is Lebesgue measurable, g may tend to negative infinity and have finitely many singularities. 

Key words: semipositone, superlinear, singular m-point boundary value, fixed point theorem, positive solution