Results 41 to 50 of about 548,657 (153)
On Functions of Bounded (p,k)-Variation
We introduce and study the concept of (p,k)-variation ...
N. Merentes, S. Rivas, J. L. Sanchez
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Bounded sets in the range of an X∗∗-valued measure with bounded variation
Let X be a Banach space and A⊂X an absolutely convex, closed, and bounded set. We give some sufficient and necessary conditions in order that A lies in the range of a measure valued in the bidual space X∗∗ and having bounded variation.
B. Marchena, C. Piñeiro
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Continuous dependence results for set-valued measure differential problems
We discuss existence and continuous dependence properties of solutions set of measure differential inclusions \begin{equation}\label{(1)} \begin{split} dx(t)& \in G(t, x(t)) d\mu(t),\\ x(0)& = x_0. \end{split} \end{equation} where $G \colon [0,1] \times \
Bianca Satco
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Bounded variation evolution equations
AbstractA “fundamental theory” is presented for the equation x(t) = ∫0t q(x(s), s) ds where the integral is Stieltjes and x is of bounded variation with values in Rn. This includes the ordinary differential equation (o.d.e.) case with impulses. The principal conclusion is that the corresponding conditions for Carathéodory's o.d.e.
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Bounded variation solutions to Sturm-Liouville problems
In this article we consider singular Sturm-Liouville problems whose right-hand side is a function of bounded Jordan variation. We present necessary and sufficient conditions for all solutions to be of bounded Jordan variation.
Jacek Gulgowski
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BV Solutions to Evolution Inclusion with a Time and Space Dependent Maximal Monotone Operator
This paper deals with the research of solutions of bounded variation (BV) to evolution inclusion coupled with a time and state dependent maximal monotone operator. Different problems are studied: existence of solutions, unicity of the solution, existence
Charles Castaing +2 more
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Some Ostrowski-type inequalities are stated for \(L_p[u,v]\) spaces and for mappings of bounded variations. Applications are also given for obtaining error bounds of some composite quadrature formulae.
Nazia Irshad, Asif R. Khan
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Perturbed Companions of Ostrowski’s Inequality for Absolutely Continuous Functions (I)
Perturbed companions of Ostrowski’s inequality for absolutely continuous functions whose derivatives are either bounded or of bounded variation and applications are given.
Dragomir Silvestru Sever
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On integral bounded variation [PDF]
The notion of \(q\)-integral \(p\)-variation, being an integral counterpart of Wiener's \(p\)-variation, has been introduced by \textit{A. P. Terehin} [Math. USSR, Sb. 17, 279--288 (1973; Zbl 0262.26011); translation from Mat. Sb., n. Ser. 88(130), 277--286 (1972)].
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Ornstein-Uhlenbeck Processes of Bounded Variation [PDF]
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