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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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