Results 61 to 70 of about 30,323 (260)

The Maximal Regularity of Nonlinear Second-Order Hyperbolic Boundary Differential Equations

Axioms
In this paper, we show the maximal regularity of nonlinear second-order hyperbolic boundary differential equations. We aim to show if the given second-order partial differential operator satisfies the specific ellipticity condition; additionally, if ...
Xingyu Liu
doaj   +1 more source

Data‐Driven Discovery of Unconventional Antiferromagnets

Advanced Science, EarlyView.
A high‐throughput workflow that combines the physics‐informed pre‐screening, high‐throughput exchange calculations, Luttinger‐Tisza analysis and symmetry classification is established for accurate identification of unconventional antiferromagnets from the broad structural database.
Qirui Cui, Chenxu Liu, Anna Delin, Kaiyou Wang   +3 more
wiley   +1 more source

Notes On The Non Linear Operator Equation I AXAX n  *

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2016
  Necessary and sufficient conditions for the operator equation I AXAX n  * , to have a real positive definite solution X are given. Based on these conditions, some properties of the operator A as well as relation between the solutions X ...
B.A. Ahmed, M.M. Hilal
doaj  

A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem

Abstract and Applied Analysis, 2012
The second order of accuracy absolutely stable difference schemes are presented for the nonlocal boundary value hyperbolic problem for the differential equations in a Hilbert space H with the self-adjoint positive definite operator A.
Allaberen Ashyralyev, Ozgur Yildirim
doaj   +1 more source

Infinitely Many Fast Homoclinic Solutions for Damped Vibration Systems with Combined Nonlinearities [PDF]

Sahand Communications in Mathematical Analysis
This article  concerns the existence of fast homoclinic solutions for the following damped vibration system\begin{equation*}\frac{d}{dt}(P(t)\dot{u}(t))+q(t)P(t)\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0,\end{equation*}where $P,L\in C\left(\mathbb{R},\mathbb{
Mohsen Timoumi
doaj   +1 more source

Nonnegative-definite and positive-definite solutions to the matrix equationAXA∗=B – revisited

Linear Algebra and its Applications, 2000
AbstractThe general Hermitian nonnegative-definite solution to the matrix equation AXA∗=B is established in a form which can be viewed as a corrected version of that derived by C.G. Khatri and S.K. Mitra (SIAM J. Appl. Math. 31 (1976) 579–585) and an alternative version to that derived by J.K. Baksalary (Linear and Multilinear Algebra 16 (1984) 133–139)
openaire   +1 more source

Unsuccessful Coupling of Weakly Coordinating Anion–Based Mg Salts and Alkoxyalkylamine Solvents for Rechargeable Mg Battery Application: Trace Water‐Driven Interfacial Failure

Advanced Science, EarlyView.
Combining recently established two ground‐breaking concepts, the adoption of WCAs and the use of alkoxyalkylamine‐based solvents in electrolyte formulations for rechargeable magnesium metal batteries, has led to unexpectedly unsuccessful electrochemical Mg plating/stripping performance. Comprehensive experimental and computational analyses revealed the
Toshihiko Mandai, Antoine Barthélemy, Hendrik Koger, Harald Scherer, Ingo Krossing   +4 more
wiley   +1 more source

Solving Optimization Problems on Hermitian Matrix Functions with Applications

Journal of Applied Mathematics, 2013
We consider the extremal inertias and ranks of the matrix expressions f(X,Y)=A3-B3X-(B3X)*-C3YD3-(C3YD3)*, where A3=A3*,   B3,   C3, and D3 are known matrices and Y and X are the solutions to the matrix equations A1Y=C1, YB1=D1, and A2X=C2, respectively.
Xiang Zhang, Shu-Wen Xiang
doaj   +1 more source

POSITIVE DEFINITE SOLUTIONS OF A LINEARLY PERTURBED MATRIX EQUATION

Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application, 2021
In this paper we study a special case of linearly perturbed discrete-time algebraic Riccati equation. We give some sufficient conditions forthe existence of a positive definite solution of the considered equation.We propose a basic fixed point iteration and its inversion free variantfor finding a positive definite solution. Moreover, by specially choosingthe
openaire   +1 more source

Fundamental Challenges, Physical Implementations, and Integration Strategies for Ising Machines in Large‐Scale Optimization Tasks

Advanced Electronic Materials, EarlyView.
Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
wiley   +1 more source