科研之友
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摘要
By applying fixed point theorem,the existence of positive solution is considered for superlinear semipositone singular m-point boundary value problem-(Lφ)(x) = f(x,φ(x)) + g(x),0 < x < 1,φ(0) = 0,φ(1) = sum from i=1 to m-2(aiφ(ξi)),where(Lφ)(x) =(p(x)φ’(x))’+q(x)φ(x) and ξi∈(0,1) with 0 < ξ1 < ξ2 < ··· < ξm-2 < 1,ai ∈ R+,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.
