In this paper, we continue the investigations done in the literature about the so called Bohr-Neugebauer property for almost periodic differential equations. More specifically, for a class of functional heat equations, we prove that each $L^2$-bounded solution is almost periodic. This extends a result in  to the delay case.
"Almost Periodicity of All $L^2$-bounded Solutions of a Functional Heat Equation." Taiwanese J. Math. 24 (2) 413 - 419, April, 2020. https://doi.org/10.11650/tjm/190506