Almost periodic solutions of linear partial differential equations

George R. Sell

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

Let L be an arbitrary linear partial differential operator and let f be an almost periodic function for t in Rm. In this paper we present sufficient conditions that a bounded solution u of Lu = f be almost periodic. Our work generalizes the theorem of Sibuya [5] for Poisson's equation and the theorems of Favard [3] and Bochner [1] for ordinary differential equations.

Original languageEnglish (US)
Pages (from-to)302-312
Number of pages11
JournalJournal of Mathematical Analysis and Applications
Volume42
Issue number2
DOIs
StatePublished - May 1973

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