The \(L^p\)-Version of the Generalized BohlPerron Principle for Neutral Type Functional Differential Equations
We consider a vector linear neutral type homogeneous functional differential equation. It is proved that the considered equation is exponentially stable, provided the corresponding non-homogeneous equation with the zero initial function and an arbitrary free term from \(L^p([0,\infty ), \mathbb {C}^n)\), has a solution belonging to \(L^p([0,\infty ), \mathbb {C}^n)\).
functional differential equation neutral type equation linear equation exponential stability 34k20