Cheban, David2025-06-182024CHEBAN, David. Two-sided Remotely Almost Periodic Solutions of Ordinary Differential Equations in Banach Spaces. In: International Conference dedicated to the 60th anniversary of the foundation of Vladimir Andrunachievici Institute of Mathematics and Computer Science, MSU, October 10-13 2024. Chisinau: [S. n.], 2024, pp. 161-166. ISBN 978-9975-68-515-3.978-9975-68-515-3https://msuir.usm.md/handle/123456789/18235The aim of this paper is studying the two-sided remotely almost periodic solutions of ordinary differential equations in Banach spaces of the form x′ = A(t)x + f(t) + F(t, x) with twosided remotely almost periodic coefficients if the linear equation x′ = A(t)x satisfies the condition of exponential trichotomy and nonlinearity F is sufficiently ”small”.ennon-autonomous dynamical systemscocyclesremotely almost periodic solutionArticle