Results 71 to 80 of about 5,782,798 (335)

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

Journal 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

On Functions of Bounded (p,k)-Variation

Journal 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 variation evolution equations

Journal 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

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source

Bounded variation solutions to Sturm-Liouville problems

Electronic 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  

Continuous dependence results for set-valued measure differential problems

Electronic 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 approximation of L_p dyadic martingales and solutions to elliptic equations [PDF]

, 2014
We prove continuity and surjectivity of the trace map onto $L_p$, from a space of functions of locally bounded variation, defined by the Carleson functional. The extension map is constructed through a stopping time argument.
T. Hytonen, Andreas Ros'en
semanticscholar   +1 more source

The newfound relationship between extrachromosomal DNAs and excised signal circles

FEBS Letters, EarlyView.
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley   +1 more source

On Anisotropic $BV$-Spaces

Researches in Mathematics
This paper is devoted to the study of a new class of functional spaces, the so-called anisotropic $BV$-spaces with a degenerate weight. We give a precise definition of such spaces and show that they can be viewed as a natural generalization of the ...
P. Kogut
doaj   +1 more source

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

International 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