, Volume 25, Issue 1, pp 133-146

The generalized Bohl–Perron principle for the neutral type vector functional differential equations

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Abstract

We consider a vector homogeneous neutral type functional differential vector equation of a certain class. It is proved that, if the corresponding nonhomogeneous equation with the zero initial conditions and an arbitrary free term bounded on the positive half-line, has a bounded solution, then the considered homogeneous equation is exponentially stable.