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

Alan Chávez, Nelson Aragonés, Manuel Pinto +1

In the present work, we prove that, if $A(\cdot )$ is a compact almost automorphic matrix and the system $$x^{\prime }(t)=A(t)x(t),$$ possesses an exponential dichotomy with Green funct…