In this paper, we introduce and analyze several new classes of multi-dimensional almost
automorphic functions which generalize the classical one of Bochner. We develop the basic …

In this paper, we analyze multi-dimensional $({\mathrm R} _ {X},{\mathcal B}) $-almost
periodic type functions and multi-dimensional Bohr ${\mathcal B} $-almost periodic type …

This research investigates the existence of piecewise asymptotically almost automorphic
mild solutions for integrodifferential equations with infinite delay. The existence results are …

In the present work, we concentrate on a certain class of nonlinear difference equations and
propose sufficient conditions for the existence of their almost automorphic solutions. In our …

In the present work, for X a Banach space, the notion of piecewise continuous Z-almost
automorphic functions with values in finite dimensional spaces is extended to piecewise …

In this work, we present basic results and applications of Stepanov pseudo‐almost periodic
functions with measure. Using only the continuity assumption, we prove a new composition …

In the present work, we prove that, if $ A (\cdot) $ is a compact almost automorphic matrix
and the system $$ x'(t)= A (t) x (t)\,, $$ possesses an exponential dichotomy with Green …