Geodesic
Solvability of some singular and nonsingular nonlinear third order boundary value problems
Annales Polonici Mathematici, Tome 54 (1991) no. 2, pp. 183-194

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Existence of positive solution to certain classes of singular and nonsingular third order nonlinear two point boundary value problems is examined using the idea of Topological Transversality. 
D. O'Regan. Solvability of some singular and nonsingular nonlinear third order boundary value problems. Annales Polonici Mathematici, Tome 54 (1991) no. 2, pp. 183-194. doi: 10.4064/ap-54-2-183-194
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