Abstract
This paper presents existence results for a variety of singular second order boundary value problems of the form y″ ± ƒ(t, y, y′) = 0. Here, our nonlinear term ƒ is allowed to be singular at y = 0, t = 0 and/or ft = 1. The methods used are the Topological Transversality Theorem, which is based on the notion of an essential map, and the Arzela-Ascoli Theorem.
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