Second order singular boundary value problems with integral boundary conditions Original Research Article

We study the second order singular boundary value problem View the MathML sourceu″+λf(t,u)=0,t∈(0,1),u(0)=∫01u(s)dξ(s),u(1)=∫01u(s)dη(s). Turn MathJax on Sufficient conditions are obtained for the existence and uniqueness of positive solutions. The dependence of positive solutions on the parameter λλ is also studied. Moreover, application of our theory to a special problem is discussed. To prove our theorem, we utilize some results from the mixed monotone operator theory.