Geodesic
An Existence Theorem for Nonlinear Boundary Value Problems
Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 693-701

Voir la notice de l'article provenant de la source Cambridge University Press

Boundary value problems for ordinary differential equations have long been the subject of extensive research activity. In particular, questions concerning the existence and uniqueness of solutions for these problems have received much attention, and algebraic fixed-point theorems have served as important tools in such investigations. For example Picard [8] based his pioneering work in this area on the use of successive approximation techniques, and recently his classical methods have been refined and extended to more general nonlinear problems (see [1] and [4]). The standard procedure for applying these techniques requires that the boundary value problem under consideration first be converted into an equivalent integral equation through the choice of a suitable Green’s function. The resulting theory is consequently limited to problems for which such a formulation is possible. 
McCandless, W. L. An Existence Theorem for Nonlinear Boundary Value Problems. Canadian mathematical bulletin, Tome 17 (1975) no. 5, pp. 693-701. doi: 10.4153/CMB-1974-126-3
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