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.
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I am very grateful to the anonymous reviewers of this paper for their really helpful comments and remarks.
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Gil’, M. The generalized Bohl–Perron principle for the neutral type vector functional differential equations. Math. Control Signals Syst. 25, 133–146 (2013). https://doi.org/10.1007/s00498-012-0100-4
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DOI: https://doi.org/10.1007/s00498-012-0100-4