Abstract
In this paper we are concerned with the following nonlinear first-order periodic boundary value problem on time scales { x Δ ( t ) + p ( t ) x ( σ ( t ) ) = g ( t , x ( σ ( t ) ) ) , t ∈ [ 0 , T ] T , x ( 0 ) = x ( σ ( T ) ) . Some new existence criteria of at least one solution are established by using novel inequalities and the well-known Schaefer fixed point theorem.
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