Existence of positive solutions of fourth order singular boundary value problems

@inproceedings{Lishan2006ExistenceOP,
  title={Existence of positive solutions of fourth order singular boundary value problems},
  author={Liu Li-shan},
  year={2006}
}
In this paper,the existence of positive solutions of a class of fourth order singular boundary value problems u~(4)(t)=λa(t)f(t,u(t),-u″(t)),0t1,u(0)=u(1)=0,u″(0)=u″(1)=0 is discussed by constructing lower and upper solutions and with the maximal theorem,where a(t):(0,1)→[0,∞)is a continuous function and f(t,u,-u″):×[0,∞)×[0,∞)→[0,∞) is a continuous function.