Department of Mathematics, Palacký University, Tomkova 40, 77900 Olomouc, Czech Republic
Abstract:
We study singular boundary value problems with mixed boundary conditions of the form
where , , f is a nonnegative function and satisfies the Carathéodory conditions on . Here, f can have a time singularity at t=0 and/or t=T and a space singularity at x=0 and/or y=0. We present conditions for the existence of solutions positive on 0,T) and having continuous first derivatives on 0,T].