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On non-absolute functional Volterra integral equations and impulsive differential equations in ordered Banach spacesKeywords: HL integrability , Bochner integrability , ordered Banach space , dominated convergence , monotone convergence , integral equation , boundary value problem Abstract: In this article we derive existence and comparison results for discontinuous non-absolute functional integral equations of Volterra type in an ordered Banach space which has a regular order cone. The obtained results are then applied to first-order impulsive differential equations.
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