EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 45(59), pp. 89--93 (1989)

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EXISTENCE AND UNIQUENESS THEOREM FOR SINGULAR INITIAL VALUE PROBLEMS AND APPLICATIONS

Aleksandra Kurepa

Arhitektonski fakultet, Zagreb, Jugoslavija and Department of Mathematics, Texas Christian University, Fort Worth, TX 76129--32903, USA

Abstract: 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.

Keywords: singular initial value problems, radially symmetric Dirichlet problems, continuous dependence on parameters.

Classification (MSC2000): 34A10, 35J05

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition