Asymptotic properties of an unstable two-dimensional differential system with delay
Josef Kalas (2006)
Mathematica Bohemica
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The asymptotic behaviour of the solutions is studied for a real unstable two-dimensional system , where is a constant delay. It is supposed that , and are matrix functions and a vector function, respectively. Our results complement those of Kalas [Nonlinear Anal. 62(2) (2005), 207–224], where the conditions for the existence of bounded solutions or solutions tending to the origin as are given. The method of investigation is based on the transformation of the real system considered...