Abstract
We study here the almost periodic solutions of first-order differential equations. We give sufficient conditions for the existence and uniqueness. The method relies on penalization and a priori estimates. One of the main difficulties consists of verifying that the limit of the sequence of perturbed solutions remains almost periodic. We introduce the notions of minimal/maximal solutions.
Citation
Mihai Bostani. "Almost periodic solutions for first-order differential equations." Differential Integral Equations 19 (1) 91 - 120, 2006. https://doi.org/10.57262/die/1356050534
Information