Abstract

This paper is concerned with the periodic solutions of the following delay non-autonomous systems (1) u ′ ( t ) = - f ( t , u ( t - r ) ) , where r > 0, f ∈ C( R 1 × R n , R n ) satisfies f( t + r, z) = f( t, z) for all z ∈ R n . Some multiplicity results of periodic solutions of (1) are obtained via variational methods.

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