# American Institute of Mathematical Sciences

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2009, 2009(Special): 54-59. doi: 10.3934/proc.2009.2009.54

## Existence of noncontinuable solutions of a system of differential equations

 1 Masaryk University, Department of Mathematics and Statistics, Kotlarska 2, 611 37 Brno, Czech Republic

Received  June 2008 Revised  July 2009 Published  September 2009

In the paper a system of differential equations $y_i^' = f_i(t, y_1,..., y_{n-1}) g_i(y_n)$, $i=1,..., n$ is studied. Sufficient (necessary) conditions for the existence of a solution $y$ fulfilling $lim_{t\to \tau_-} y_i(t)= C_i$, $i=1,2,..., n-1$, $lim_{t\to\tau_-}|y_n(t)|=\infty$ are derived where $\tau<\infty$ and $C_i \in \mathbb{R}$ are given.
Citation: Miroslav Bartušek. Existence of noncontinuable solutions of a system of differential equations. Conference Publications, 2009, 2009 (Special) : 54-59. doi: 10.3934/proc.2009.2009.54
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