1,720,976 research outputs found

    The irregular nesting problem involving triangles and rectangles

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    This paper introduces a new geometrical method for a general two-dimensional irregular nesting problem; an efficient algorithm is derived. The validity of this algorithm is testified by several statistical tests, whose results include a numerical estimate of the asymptotic performance bound and the percentage of wastage of area utilization

    Differential equations with hereditary structure induced by a Volterra type property

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    We study a class of Functional Differential Equations whose hereditary structure is induced by a Volterra type property. This abstract formulation allows us to unify many hereditary structures already introduced in literature

    Extremal solutions for a class of functional differential equations

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    We study, in Caratheodory assumptions, existence, continuation and continuous dependence of extremal solutions for an abstract and rather general class of hereditary differential equations. By some examples we prove that, unlike the nonfunctional case, solved Cauchy problems for hereditary differential equations may not have local extremal solutions
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