PORTUGALIAEMATHEMATICA
Vol. 54, No. 2, pp. 165-186 (1997)
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PORTUGALIAE MATHEMATICA Vol. 54, No. 2, pp. 165-186 (1997) |
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Existence of Periodic Orbits, Set of Global Solutions and Behavior Near Equilibrium for Volterra Equations of Retarded TypeWaldyr M. Oliva and Plácido Z. TáboasUniversidade Técnica de Lisboa, Instituto Superior Técnico,Av. Rovisco Pais, 1096 Lisboa Codex - PORTUGAL E-mail: wamoliva@math.ist.utl.pt, wamoliva@ime.usp.br Universidade de S\ ao Paulo, ICMSC, C. Postal 668, S\ ao Carlos, SP 13560-970 - BRASIL E-mail: pztaboas@icmsc.sc.usp.br 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 Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1997 Sociedade Portuguesa de Matemática
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