Existence theory for nonresonant singular boundary value problems
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O'Regan, Donal (1995). Existence theory for nonresonant singular boundary value problems. Proceedings of the Edinburgh Mathematical Society 38 , 431-447
We present some existence results for the ''nonresonant'' singular boundary value problem 1/pq(py')'+ mu y = f(t, y) a.e. on [0,1] with lim(t-->0) + p(t)y'(t)=y(1)=0. Here mu is such that 1/pq(pu')'+mu u=0 a.e. on [0,1] with lim(t-->0)+p(t)u'(t)= u(1)=0 has only the trivial solution.