Sixth Mississippi State Conference on Differential Equations and
Computational Simulations.
Electronic Journal of Differential Equations,
Conference 15 (2007), pp. 29-39. 

Title: Existence of noncontinuable solutions

Author: Miroslav Bartusek (Masaryk Univ., Czech Republic)
 
Abstract: 
 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.