Positive solutions of singular Dirichlet boundary value problems with time and space singularities

The paper is concerned with existence results for positive solutions u∈AC1[0,T] of singular Dirichlet boundary value problems. The nonlinearities h(t,x,y) in differential equations admit a time singularity at t=0 and/or T and a strong singularity at x=0. Besides, the existence of maximal positive solutions is proved.