Abstract
In this paper, we consider the existence and multiplicity of positive periodic solutions for first-order vector differential equation x ′ ( t ) + f ( t , x ( t ) ) = 0 , a.e. t ∈ [ 0 , ω ] under the periodic boundary value condition x ( 0 ) = x ( ω ) . Here ω is a positive constant, and f : [ 0 , ω ] × R n → R n is a Carathéodory function. Some existence and multiplicity results of positive periodic solutions are derived by using a fixed point theorem in cones.
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