Results 31 to 40 of about 2,266 (56)

Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition

open access: yesMathematische Nachrichten, Volume 297, Issue 2, Page 716-740, February 2024.
Abstract In this paper, we study the class of tempered distributions whose Fourier transform is a translation bounded measure and show that each such distribution in Rd${\mathbb {R}}^d$ has order at most 2d. We show the existence of the generalized Eberlein decomposition within this class of distributions, and its compatibility with all previous ...
Timo Spindeler, Nicolae Strungaru
wiley   +1 more source

Positive Solutions for Higher Order Nonlocal Fractional Differential Equation with Integral Boundary Conditions

open access: yesJournal of Function Spaces, Volume 2018, Issue 1, 2018., 2018
In this paper, by using the spectral analysis of the relevant linear operator and Gelfand’s formula, some properties of the first eigenvalue of a fractional differential equation were obtained; combining fixed point index theorem, sufficient conditions for the existence of positive solutions are established.
Jiqiang Jiang   +3 more
wiley   +1 more source

Sharp Bounds for the Deviation of a Function from the Chord Generated by its Extremities and Applications [PDF]

open access: yes, 2007
Sharp bounds for the deviation of a real-valued function f defined on a compact interval [a, b] to the chord generated by its end points (a, f (a)) and (b, f (b)) under various assumptions for f and f' including absolute continuity, convexity, bounded
Dragomir, Sever S
core  

On the Henstock-Kurzweil Integral for Riesz-space-valued Functions on Time Scales

open access: yes, 2017
We introduce and investigate the Henstock-Kurzweil (HK) integral for Riesz-space-valued functions on time scales. Some basic properties of the HK delta integral for Riesz-space-valued functions are proved.
Brown, André EX   +11 more
core   +8 more sources

Sequential Detection of Three-Dimensional Signals under Dependent Noise

open access: yes, 2017
We study detection methods for multivariable signals under dependent noise. The main focus is on three-dimensional signals, i.e. on signals in the space-time domain. Examples for such signals are multifaceted. They include geographic and climatic data as
Prause, Annabel, Steland, Ansgar
core   +1 more source

Inequalities for Stieltjes Integrals with Convex Integrators and Applications [PDF]

open access: yes, 2005
Inequalities for a Grüss type functional in terms of Stieltjes integrals with convex integrators are given.
Dragomir, Sever S
core  

Some results on maps that factor through a tree

open access: yes, 2015
We give a necessary and sufficient condition for a map defined on a simply-connected quasiconvex metric space to factor through a tree. In case the target is the Euclidean plane and the map is H\"older continuous with exponent bigger than 1/2, such maps ...
Züst, Roger
core   +2 more sources

Optimal control for rough differential equations [PDF]

open access: yes, 2006
In this note, we consider an optimal control problem associated to a differential equation driven by a H\"{o}lder continuous function g of index greater than 1/2. We split our study in two cases. If the coefficient of dg\_t does not depend on the control
Mazliak, Laurent, Nourdin, Ivan
core   +2 more sources

Asymptotic solutions of forced nonlinear second order differential equations and their extensions

open access: yes, 2007
Using a modified version of Schauder's fixed point theorem, measures of non-compactness and classical techniques, we provide new general results on the asymptotic behavior and the non-oscillation of second order scalar nonlinear differential equations on
Mingarelli, Angelo B.   +1 more
core   +3 more sources

Home - About - Disclaimer - Privacy