Vector valued piecewise continuous almost automorphic functions and some consequences

A Chávez, LQ Huatangari - Journal of Mathematical Analysis and …, 2025 - Elsevier
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 …

Compact almost automorphic dynamics of non-autonomous differential equations with exponential dichotomy and applications to biological models with delay

A Chávez, N Aragonés, M Pinto, U Zavaleta - arXiv preprint arXiv …, 2024 - arxiv.org
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 …

Almost automorphic solutions for Lotka-Volterra systems with diffusion and time-dependent parameters

MEK Kpoumié, AHG Nsangou… - Le …, 2024 - lematematiche.dmi.unict.it
In this work we study the response for a class of Lotka-Volterra prey-predator systems with
diffusion and time-dependent parameters to a large class of oscillatory type functions …