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.
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 },
publisher = {mathdoc},
volume = {_N_S_45},
number = {59},
year = {1989},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1989_N_S_45_59_a13/}
}
TY - JOUR AU - Aleksandra Kurepa TI - Existence and Uniqueness Theorem for Singular Initial Value Problems and Applications JO - Publications de l'Institut Mathématique PY - 1989 SP - 89 VL - _N_S_45 IS - 59 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/PIM_1989_N_S_45_59_a13/ LA - en ID - PIM_1989_N_S_45_59_a13 ER -
%0 Journal Article %A Aleksandra Kurepa %T Existence and Uniqueness Theorem for Singular Initial Value Problems and Applications %J Publications de l'Institut Mathématique %D 1989 %P 89 %V _N_S_45 %N 59 %I mathdoc %U http://geodesic.mathdoc.fr/item/PIM_1989_N_S_45_59_a13/ %G en %F PIM_1989_N_S_45_59_a13
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/