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Almost Periodic Functions and the Abstract Wave Equation

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Nonlinear Vibrations and the Wave Equation

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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Abstract

In this chapter, we recall the definition and some basic properties of almost periodic functions with values in a (real) Hilbert space and we establish a necessary and sufficient condition for all solutions of (2.1.7)–(2.1.8) to be almost periodic: \(\mathbb {R} \rightarrow {V}\).

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Correspondence to Alain Haraux .

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Haraux, A. (2018). Almost Periodic Functions and the Abstract Wave Equation. In: Nonlinear Vibrations and the Wave Equation. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-78515-8_3

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