Vol. 63, No. 1, pp. 47-68 (2006)
Duality mappings and the existence of periodic solutions for non-autonomous second order systems
George Dinca, Daniel Goeleven and Daniel PascaFaculty of Mathematics, University of Bucharest,
Academiei 14, 010014, Bucharest -- ROMANIA
IREMIA, University of La Reunion,
Saint-Denis, 97400 -- FRANCE
Department of Mathematics, University of Oradea,
Armatei Romane 5, 410087, Oradea -- ROMANIA
Abstract: The aim of this article is to describe a new method for proving the existence of periodic solutions for certain types of nonautonomous systems. This method is based on the properties of the so-called duality mappings defined on smooth Banach spaces...
Keywords: periodic solutions; duality mapping; demicontinuous operator.
Classification (MSC2000): 34C25, 49J15.
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Electronic version published on: 7 Mar 2008.