Results 41 to 50 of about 548,657 (153)

On Functions of Bounded (p,k)-Variation

open access: yesJournal of Function Spaces and Applications, 2012
We introduce and study the concept of (p,k)-variation ...
N. Merentes, S. Rivas, J. L. Sanchez
doaj   +1 more source

Bounded sets in the range of an X∗∗-valued measure with bounded variation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
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
doaj   +1 more source

Continuous dependence results for set-valued measure differential problems

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
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
doaj   +1 more source

Bounded variation evolution equations

open access: yesJournal of Mathematical Analysis and Applications, 1974
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.
openaire   +1 more source

Bounded variation solutions to Sturm-Liouville problems

open access: yesElectronic Journal of Differential Equations, 2018
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
doaj  

BV Solutions to Evolution Inclusion with a Time and Space Dependent Maximal Monotone Operator

open access: yesMathematics
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
doaj   +1 more source

Some applications of quadrature rules for mappings on \(L_p[u,v]\) space via Ostrowski-type inequality

open access: yesJournal of Numerical Analysis and Approximation Theory, 2017
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
doaj   +2 more sources

Perturbed Companions of Ostrowski’s Inequality for Absolutely Continuous Functions (I)

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2016
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
doaj   +1 more source

On integral bounded variation [PDF]

open access: yesRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
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)].
openaire   +2 more sources

Ornstein-Uhlenbeck Processes of Bounded Variation [PDF]

open access: yesMethodology and Computing in Applied Probability, 2020
23 ...
openaire   +3 more sources

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