Abstract
In this paper we prove convergence results for the series expansion of the solution to a linear functional differential equation. The results are consequences of an analysis of eigenfunction expansions for the generator of the solution map. This abstract approach unifies the treatment of retarded and neutral functional differential equations.
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The research of S.M. Verduyn Lunel has been made possible by a fellowship of the Royal Netherlands Academy of Arts and Sciences
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Verduyn Lunel, S.M. Series expansions for functional differential equations. Integr equ oper theory 22, 93–122 (1995). https://doi.org/10.1007/BF01195491
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DOI: https://doi.org/10.1007/BF01195491