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Introduction
Abstract Let $$\mathbb {R}_+$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mrow> <mml:mi>ℝ</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> </mml:mrow> </mml:msub> </mml:math> denote the open half-line (0, ∞ ) and let Δ denote the forward difference operator on the space of functions from $$\mathbb {R}_+$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mrow> <mml:mi>ℝ</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> </mml:mrow> </mml:msub> </mml:math> to …