Nguyen, Thanh Lan2021-04-262021-04-262004-06-04Nguyen, T. L. (2004). Periodicity of mild solutions to higher order differential equations in Banach spaces. <i>Electronic Journal of Differential Equations, 2004</i>(79), pp. 1-12.1072-6691https://hdl.handle.net/10877/13433We give necessary and sufficient conditions for the periodicity of mild solutions to the higher order differential equation u(n)(t) = Au(t) + ƒ(t), 0 ≤ t ≤ T, in a Banach space E. Applications are made to the cases, when A generates a C0-semigroup or a cosine family, and when E is a Hilbert space.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalAbstract Cauchy problemsFourier seriesPeriodic mild solutionsSemigroups and cosine familiesArticle