Sixth Mississippi State Conference on Differential Equations and Computational Simulations.
Electron. J. Diff. Eqns., Conference 15 (2007), pp. 29-39.

Existence of noncontinuable solutions

Miroslav Bartusek

This paper presents necessary and sufficient conditions for an n-th order differential equation to have a non-continuable solution with finite limits of its derivatives up to the orders n-2 at the right-hand end point of the definition interval.

Published February 28, 2007.
Math Subject Classifications: 34C11.
Key Words: Noncontinuable solutions; singular solutions of the second kind; black-hole solutions.

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Miroslav Bartusek
Department of Mathematics
Masaryk University, Janackovo nam. 2a
602 00 Brno, Czech Republic

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