Results 61 to 70 of about 1,424 (201)

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

A Study of Birkhoff Orthogonal Sets in Smooth Banach Spaces

Journal of Harbin University of Science and Technology
Referring to the definition of orthogonal set in inner product space，the concept of Birkhoff orthogonal set is introduced in finite-dimensional real Banach spaces，and the problem of whether there exists a Birkhoff orthogonal set whose number of ...
WANG Xiaomei, JI Donghai
doaj   +1 more source

Two remarks on diameter 2 properties; pp. 2–7 [PDF]

Proceedings of the Estonian Academy of Sciences, 2014
  A Banach space is said to have the diameter 2 property if the diameter of every nonempty relatively weakly open subset of its unit ball equals 2. In a paper by Abrahamsen, Lima, and Nygaard (Remarks on diameter 2 properties. J. Conv. Anal., 2013, 20,
Rainis Haller, Johann Langemets
doaj   +1 more source

General Variational Formulation of Axisymmetric Capillary Bridges: Modeling Contact Angle Hysteresis and Capillary Forces

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This work presents a general framework for deriving the Young–Laplace equation and the Young's equations for an axisymmetric capillary bridge between two parallel plates by minimizing the system's total energy. These Young's equations naturally emerge as boundary conditions associated with the Young–Laplace equation.
Olivier Millet, Antoine Moreau, Antoine Logerot, Marc Médale   +3 more
wiley   +1 more source

Bochner's Theorem in Measurable Dual of Type 2 Banach Space

The Annals of Probability, 1985
Let \(\mu\) be a Radon probability measure on a type 2 Banach space E. The following Bochner's theorem is proved. For every continuous positive definite function \(\phi\) \((\phi (0)=1)\) on E, there exists a Radon probability measure \(\sigma_{\phi}\) on the measurable dual \(H_ 0(\mu)\) of (E,\(\mu)\) with the characteristic functional \(\phi\) (in ...
openaire   +2 more sources

A ninny, an idiot and an economic theorist

Economica, EarlyView.
Abstract Anton Chekhov's story ‘The ninny’ meets the question: ‘What is the meaning of economic theory?’
Ariel Rubinstein
wiley   +1 more source

Adaptive Estimation for Weakly Dependent Functional Times Series

Journal of Time Series Analysis, EarlyView.
ABSTRACT We propose adaptive mean and autocovariance function estimators for stationary functional time series under 𝕃p−m‐approximability assumptions. These estimators are designed to adapt to the regularity of the curves and to accommodate both sparse and dense data designs.
Hassan Maissoro, Valentin Patilea, Myriam Vimond   +2 more
wiley   +1 more source

A Note on Local Polynomial Regression for Time Series in Banach Spaces

Journal of Time Series Analysis, EarlyView.
ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
wiley   +1 more source

On Generalized Hyers-Ulam Stability of Admissible Functions

Abstract and Applied Analysis, 2012
We consider the Hyers-Ulam stability for the following fractional differential equations in sense of Srivastava-Owa fractional operators (derivative and integral) defined in the unit disk: Dzβf(z)=G(f(z),Dzαf(z),zf'(z);z ...
Rabha W. Ibrahim
doaj   +1 more source

Relative Arbitrage Opportunities With Interactions Among N Investors

Mathematical Finance, EarlyView.
ABSTRACT The relative arbitrage portfolio outperforms a benchmark portfolio over a given time‐horizon with probability one. With market price of risk processes depending on the market portfolio and investors, this paper analyzes the multi‐agent optimization of relative arbitrage opportunities in the coupled system of market and wealth dynamics.
Tomoyuki Ichiba, Nicole Tianjiao Yang
wiley   +1 more source