Results 1 to 10 of about 468,918 (185)
Multifunctions of bounded variation [PDF]
Journal of Differential Equations, 2016 Abstract Consider control systems described by a differential equation with a control term or, more generally, by a differential inclusion with velocity set F ( t , x ) . Certain properties of state trajectories can be derived when it is assumed that F ( t , x ) is merely measurable w.r.t. the time variable t.
Vinter, RB
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Variation bounds for spherical averages [PDF]
Mathematische Annalen, 2021 51 pages, 11 figures. Revised version incorporating referee's suggestions.
Richard Oberlin +5 more
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On functions of bounded variation [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2016 AbstractThe recently introduced concept of ${\mathcal D}$-variation unifies previous concepts of variation of multivariate functions. In this paper, we give an affirmative answer to the open question from [20] whether every function of bounded Hardy–Krause variation is Borel measurable and has bounded ${\mathcal D}$-variation.
Aistleitner, Christoph +3 more
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Generalized Bounded Variation and Inserting point masses [PDF]
, 2008 Let $d\mu$ be a probability measure on the unit circle and $d\nu$ be the measure formed by adding a pure point to $d\mu$. We give a simple formula for the Verblunsky coefficients of $d\nu$ based on a result of Simon.
Wong, Manwah Lilian
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On Bounded Second Variation [PDF]
Advances in Pure Mathematics, 2012 In this paper, we discuss various aspects of the problem of space-invariance, under compositions, of certain subclasses of the space of all continuously differentiable functions on an interval [a,b] We present a result about integrability of products of the form gοf.f'f(k)under suitable mild conditions and, finally, we prove that a Nemytskij operator ...
José Giménez +3 more
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Properties of the solutions of delocalised coagulation and inception problems with outflow boundaries [PDF]
, 2015 Well posedness is established for a family of equations modelling particle populations undergoing delocalised coagulation, advection, inflow and outflow in a externally specified velocity field.
Patterson, Robert I. A.
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On integral bounded variation [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017 In this paper we will investigate the concept of the q-integral p-variation introduced in 1970’s by Terehin. This kind of integral variation has been mainly used, until now, to describe the regularity of functions in $$L^p$$
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ON THE DERIVATIVES OF FUNCTIONS OF BOUNDED VARIATION [PDF]
Real Analysis Exchange, 2000 Using a standard complete metric $w$ on the set $F$ of continuous functions of bounded variation on the interval $[0,1]$, we find that a typical function in $F$ has an infinite derivative at continuum many points in every subinterval of $[0,1]$.
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BOUNDED VARIATION ON THE SIERPIŃSKI GASKET
Fractals, 2022 Under certain continuity conditions, we estimate upper and lower box dimensions of the graph of a function defined on the Sierpiński gasket. We also give an upper bound for Hausdorff dimension and box dimension of the graph of a function having finite energy.
Verma, S., Sahu, A.
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Bounded variation and relaxed curvature of surfaces
, 2020 We consider a relaxed notion of energy of non-parametric codimension one surfaces that takes account of area, mean curvature, and Gauss curvature. It is given by the best value obtained by approximation with inscribed polyhedral surfaces.
Mucci, Domenico, Saracco, Alberto
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