On the sharpness of a theorem by cooke and Verduyn Lunel

Kenneth L. Cooke, Gregory Derfel

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


The sharpness of a theorem of K. Cooke and S. M. Verduyn Lunel (Differential Integral Equations 6 (1993) 1101-1117) about small solutions of linear time-dependent delay equations is proved. A wide class of nonautonomous functional-differential equations possessing small solutions is constructed. The construction is based on the existence of quickly decreasing solutions of functional-differential equations with linearly expanded arguments.

Original languageEnglish
Pages (from-to)379-391
Number of pages13
JournalJournal of Mathematical Analysis and Applications
Issue number2
StatePublished - 1 Jan 1996

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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