Almost periodic functions serve as a powerful conceptual framework in analysing differential equations whose coefficients or forcing terms exhibit recurrent behaviour over time. Rooted in the ...

Some of the series we have looked at have had clear annual cycles, returning to high levels in the same month every year. In our analysis of such processes we have tried to model the mean as a ...

In this paper, we analyze several various classes of Stepanov multi-dimensional almost periodic functions in Lebesgue spaces with variable exponents. The introduced classes seem to be new and not ...

where f(0) = 0. Here, u(x,t) is a real-valued function of n-dimensional space x and of time t. By periodic solution we understand solutions that are periodic in time and square integrable in space.

Denote by 𝐴𝑃(G) (respectively ap(G)) the space of all almost periodic functions (respectively almost periodic measures) defined on a Hausdorff locally compact abelian group 𝐺 and by 𝑀(μ) or ...