Periodicity of mild solutions to higher order differential equations in Banach spaces

Date

2004-06-04

Authors

Nguyen, Thanh Lan

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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. <i>Electronic Journal of Differential Equations, 2004</i>(79), pp. 1-12.

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Attribution 4.0 International

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