Abstract
In this paper, the second order nonautonomous differential equations with piecewise constant arguments x ″ ( t ) + ( α ( t ) - β ( t ) ) x ′ ( t ) - ( β ′ ( t ) + α ( t ) β ( t ) ) x ( t ) + c ( t ) x ′ ( [ t ] ) + d ( t ) x ( [ t ] ) = σ ( t ) , t ∈ [ 0 , T ] , x ( 0 ) = x ( T ) , x ′ ( 0 ) = x ′ ( T ) + λ is considered. We obtain the Green's function to express the unique solution for the system.
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