Vol. 54, No. 2, pp. 165-186 (1997)
Existence of Periodic Orbits, Set of Global Solutions and Behavior Near Equilibrium for Volterra Equations of Retarded Type
Waldyr M. Oliva and Plácido Z. TáboasUniversidade Técnica de Lisboa, Instituto Superior Técnico,
Av. Rovisco Pais, 1096 Lisboa Codex - PORTUGAL
E-mail: firstname.lastname@example.org, email@example.com Universidade de S\ ao Paulo, ICMSC,
C. Postal 668, S\ ao Carlos, SP 13560-970 - BRASIL
Abstract: A ``cut-off'' technique for retarded functional differential equations is applied to Volterra models of retarded type, combined with a Kurzweil's theorem, in order to describe global bounded solutions as solutions of an ordinary differential equation. The existence of periodic orbits and a description of the behavior near the equilibrium are also obtained.
Classification (MSC2000): 34K15, 38F32
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Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.