Existence and Uniqueness Theorem for Singular Initial Value Problems and Applications
Publications de l'Institut Mathématique, _N_S_45 (1989) no. 59, p. 89 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
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     author = {Aleksandra Kurepa},
     title = {Existence and {Uniqueness} {Theorem} for {Singular} {Initial} {Value} {Problems} and {Applications}},
     journal = {Publications de l'Institut Math\'ematique},
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     year = {1989},
     language = {en},
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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/