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Solutions of Volterra integral equations with infinite delay
Author(s) -
Franco Daniel,
O'Regan Donal
Publication year - 2008
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200510605
Subject(s) - mathematics , volterra integral equation , complement (music) , volterra equations , bounded function , integral equation , mathematical analysis , nonlinear system , biochemistry , physics , quantum mechanics , complementation , gene , phenotype , chemistry
We present several new existence results for a Volterra integral equation with infinite delay. We discuss periodic and bounded solutions. Sufficient conditions for the existence of positive periodic solutions are also provided. The techniques we employ have not been used for this equation before. Our results generalize and complement those in the literature and several examples are presented to show their applicability. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)