Results 41 to 50 of about 396,927 (287)

Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference Equations

Discrete Dynamics in Nature and Society, 2018
We consider a hybrid fractional sum-difference initial value problem and a hybrid fractional sequential sum-difference initial value problem. The existence results of these two problems are proved by using the hybrid fixed point theorem for three ...
Saowaluck Chasreechai, Thanin Sitthiwirattham   +1 more
doaj   +1 more source

Different Exponential Spectra in Banach Algebras

Rocky Mountain Journal of Mathematics, 1999
The exponential spectrum of a Banach algebra element was introduced by \textit{R. Harte} [Proc. Am. Math. Soc. 58, 114-118 (1976; Zbl 0338.46043)]. Let \(A\) and \(B\) be complex Banach algebras with unit 1. The connected component of 1 in the group of invertible elements is denoted by Exp \(A\). First the relationship between homomorphisms between \(A\
Lindeboom (Groenewald), L., Raubenheimer, H.   +1 more
openaire   +3 more sources

Quantum two-photon algebra from non-standard U_z(sl(2,R)) and a discrete time Schr\"odinger equation

, 1997
The non-standard quantum deformation of the (trivially) extended sl(2,R) algebra is used to construct a new quantum deformation of the two-photon algebra h_6 and its associated quantum universal R-matrix.
ANGEL BALLESTEROS, Ballesteros A., Ballesteros A., Ballesteros A., Dobrev V. K., FRANCISCO J. HERRANZ, Hagen C. R., Jaroskiewicz G., Negro J., Niederer U., PREETI PARASHAR   +10 more
core   +1 more source

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

Advanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer, Leonhard Holländer, André Langohr, Hans Jürgen Maier   +3 more
wiley   +1 more source

A Family of Integrable Differential-Difference Equations: Tri-Hamiltonian Structure and Lie Algebra of Vector Fields

Discrete Dynamics in Nature and Society, 2021
Starting from a novel discrete spectral problem, a family of integrable differential-difference equations is derived through discrete zero curvature equation.
Ning Zhang, Xi-Xiang Xu
doaj   +1 more source

UNIFORM TOPOLOGY ON DIFFERENCE ALGEBRAS

Bulletin of the Korean Mathematical Society, 2005
Summary: We consider a collection of ideals of a difference algebra \(X\). We use the concept of congruence relation with respect to ideals to construct a uniformity that induces a topology on \(X\) which makes this to a topological difference algebras. We study the properties of this topology regarding different ideals.
openaire   +1 more source

Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules

Advanced Functional Materials, EarlyView.
A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang, Max Gießübel, Pankaj Dharpure, Andrea Albert, Vira Niestierkina, Paul Mulvaney, Mukundan Thelakkat, Jürgen Köhler   +7 more
wiley   +1 more source

Systems of Algebraic Mixed Difference Equations [PDF]

Transactions of the American Mathematical Society, 1935
In his algebraic theory of differential equations, J. F. Rittt has developed a decomposition theory for systems of algebraic differential equations by introducing the idea of irreducible systems and proving that every system is equivalent to one and essentially only one finite set of irreducible systems.
openaire   +2 more sources

Difference equations for graded characters from quantum cluster algebra [PDF]

, 2016
We introduce a new set of $q$-difference operators acting as raising operators on a family of symmetric polynomials which are characters of graded tensor products of current algebra ${\mathfrak g}[u]$ KR-modules \cite{FL} for ${\mathfrak g}=A_r$.
Di Francesco, Philippe, Kedem, Rinat
core   +3 more sources

Stress‐Normalized Sensitivity as a Comparative Benchmark for Intrinsically Piezoresistive Nanocomposite Materials in Wearable Electronics

Advanced Materials Technologies, EarlyView.
A stress‐normalised sensitivity metric (S = G/Y) is introduced as a materials‐level benchmark for intrinsically piezoresistive nanocomposites. By decoupling electromechanical response (G) from stiffness (Y), the framework enables direct comparison across diverse systems and clarifies design trade‐offs for wearable sensors.
Conor S. Boland
wiley   +1 more source