The Property of Bounded-Φ Variation Solutions Set and Henstock-Kurzweil Integral
Xiao Yan-ping
Abstract
Xiao Yan-ping
Abstract
Under more extensive condition,the property of bounded-Φ variation solutions set of Caratheodory system is established by using the function theory of bounded-Φ variation,and generalizes Henstock-Kurzweil integral.It is a popularization for property of bounded variation solutions set.
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Under more extensive condition,the property of bounded-Φ variation solutions set of Caratheodory system is established by using the function theory of bounded-Φ variation,and generalizes Henstock-Kurzweil integral.It is a popularization for property of bounded variation solutions set.
Key concepts: Bounded variation, Bounded function, Variation (astronomy), Property (philosophy), Mathematics, Set (abstract data type), Bounded deformation, Set function