Geodesic
Existence and Uniqueness Theorem for Singular Initial Value Problems and Applications
Publications de l'Institut Mathématique, _N_S_45 (1989) no. 59, p. 89 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We prove the existence and the uniqueness of the solution to the nonlinear singular initial value problem (1.1) below, and show that such a solution continuously depends on the initial condition. This result is then applied to radially symmetric nonlinear Dirichlet problems.
Classification : 34A10 35J05
Keywords: singular initial value problems, radially symmetric Dirichlet problems, continuous dependence on parameters. 
@article{PIM_1989_N_S_45_59_a13,
     author = {Aleksandra Kurepa},
     title = {Existence and {Uniqueness} {Theorem} for {Singular} {Initial} {Value} {Problems} and {Applications}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {89 },
     year = {1989},
     volume = {_N_S_45},
     number = {59},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1989_N_S_45_59_a13/}
}
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Aleksandra Kurepa. Existence and Uniqueness Theorem for Singular Initial Value Problems and Applications. Publications de l'Institut Mathématique, _N_S_45 (1989) no. 59, p. 89 . http://geodesic.mathdoc.fr/item/PIM_1989_N_S_45_59_a13/