Periodicity of mild solutions to higher order differential equations in Banach spaces
Date
2004-06-04
Authors
Nguyen, Thanh Lan
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We 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.
Description
Keywords
Abstract Cauchy problems, Fourier series, Periodic mild solutions, Semigroups and cosine families
Citation
Nguyen, T. L. (2004). Periodicity of mild solutions to higher order differential equations in Banach spaces. Electronic Journal of Differential Equations, 2004(79), pp. 1-12.
Rights
Attribution 4.0 International