ON THE SHARPNESS OF A THEOREM BY COOKE AND VERDUYN-LUNEL

Authors
COOKE KL DERFEL G
Citation
Kl. Cooke et G. Derfel, ON THE SHARPNESS OF A THEOREM BY COOKE AND VERDUYN-LUNEL, Journal of mathematical analysis and applications, 197(2), 1996, pp. 379-391
Citations number
20
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
197
Issue
2
Year of publication
1996
Pages
379 - 391
Database
ISI
SICI code
0022-247X(1996)197:2<379:OTSOAT>2.0.ZU;2-Y
Abstract
The sharpness of a theorem of K. Cooke and S. M. Verduyn Lunel (Differ ential Integral Equations 6 (1993) 1101-1117) about small solutions of linear time-dependent delay equations is proved. A wide class of nona utonomous functional-differential equations possessing small solutions is constructed. The construction is based on the existence of quickly decreasing solutions of functional-differential equations with linear ly expanded arguments. (C) 1996 Academic Press, Inc.