Abstract

This paper deals with the existence of positive T -periodic solutions for the following differential equation x ̈ + a ( t ) x = f ( t , x ) + c ( t ) , where a , c ∈ L 1 [ 0 , T ] and f ∈ Car ( [ 0 , T ] × R + , R ) . The existence results are obtained by using a fixed point theorem in cones.

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