Results 31 to 40 of about 1,440,592 (123)

Lipschitz-stability of controlled rough paths and rough differential equations [PDF]

, 2022
We provide an account for the existence and uniqueness of solutions to rough differential equations in infinite dimensions under the framework of controlled rough paths.
Boedihardjo, Horatio, Geng, Xi
core   +1 more source

Subspace‐Based System Identification From Binary Measurements

Asian Journal of Control, EarlyView.
ABSTRACT This paper is concerned with subspace identification from binary measurements for systems whose dynamical behavior can be splited into a deterministic and a stochastic subsystem. An identification algorithm is detailed. The main contribution of the proposed identification algorithm lies in the identification of both the deterministic subsystem
Alex Ali Mestrah, Mathieu Pouliquen, Eric Pigeon   +2 more
wiley   +1 more source

Large parameter asymptotic analysis for homogeneous normalized random measures with independent increments

Canadian Journal of Statistics, EarlyView.
Abstract Homogeneous normalized random measures with independent increments represent a broad class of Bayesian nonparametric priors and thus are widely used. In this article, we obtain the strong law of large numbers, the central limit theorem (CLT), and the functional central limit theorem (fCLT) of such measures when the concentration parameter a ...
Junxi Zhang, Shui Feng, Yaozhong Hu
wiley   +1 more source

On the Construction of Hölder and Proximal Subderivatives

, 1998
We construct Lipschitz functions such that for all s > 0 they are s-Hölder, and so proximally, subdifferentiable only on dyadic rationals and nowhere else.
J. M. Borwein, R. Girgensohn, Xianfu Wang   +2 more
core   +1 more source

Homomorphisms on real-valued little Lipschitz function spaces [PDF]

, 2009
We describe the general form of algebra, ring and vector lattice homomorphisms between spaces of real-valued little Lipschitz functions on compact Hölder metric spaces (X,dα) for ...
A. Jiménez-Vargas, Villegas Vallecillos, Moisés, Moisés Villegas-Vallecillos, Jiménez Vargas, Antonio   +3 more
core   +1 more source

Front Propagation Through a Perforated Wall

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki, François Hamel, Hiroshi Matano   +2 more
wiley   +1 more source

A Kantorovich Version of Bernstein‐Type Logarithmic Operators

Mathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we introduce a Kantorovich version of the Bernstein‐type logarithmic operators. The idea comes from the wide literature concerning exponential polynomials that preserve exponential functions: here, the exponential weights are replaced by logarithmic ones and the corresponding operators preserve the logarithmic functions.
Laura Angeloni, Danilo Costarelli, Chiara Darielli   +2 more
wiley   +1 more source

Almost Periodicity on Isolated Time Scales and Applications

Mathematische Nachrichten, EarlyView.
ABSTRACT In this work, we formulate a generalized definition of almost periodicity for functions defined on isolated time scales. The introduced definition is consistent with the known formulations in the discrete and quantum calculus settings. We state two different definitions of almost periodicity and we show their relation.
Martin Bohner, Jaqueline G. Mesquita, Ronaldo Murakami   +2 more
wiley   +1 more source

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

A Gauss–Newton Method for ODE Optimal Tracking Control

Optimal Control Applications and Methods, EarlyView.
This paper presents a Gauss–Newton method for optimal tracking control of ordinary differential equations (ODEs). The approach formulates the problem as an infinite‐dimensional optimization problem, allowing both control functions and uncertain model parameters to be optimized.
Vicky Holfeld, Michael Burger, Claudia Schillings   +2 more
wiley   +1 more source