Abstract:

We discussed the existence and multiplicity of the positive solutions of the following Neumann boundary value problems({u″(t)+a(t)u′(t)+b(t)u(t)+ f(t,u(t))=0,t∈(0,1),u′(0)=u′(1)=0,)where a∈C［0,1］, b∈C(［0,1］, (-∞,0)), f∈C(［0,1］×［0,+∞), ［0,+∞))  using fixed point theorem on cones and the LeggettWilliams fixedpoint theorem.

Key words:  Neumann boundary value problems, LeggettWilliams fixed point theorem, positive solutions, existence