A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Mixed problem with integral condition for the hyperbolic equation
In this paper we consider a nonlocal problem with integral condition of the first kind. Existence and uniqueness of a solution of this problem are proved. The proof is based on a priori estimates and auxiliary problem method.
Natali D Golubeva
doaj +3 more sources
Solution to nonlocal problems of pseudohyperbolic equations
In this article considers a nonlocal problem with integral condition for a fourth-order pseudohyperbolic equation. Existence and uniqueness of a generalized solution are proved.
Ludmila S.A Pulkina
doaj
Existence and Uniqueness of Positive Solutions for the Fractional Differential Equation Involving the ρ(τ)-Laplacian Operator and Nonlocal Integral Condition [PDF]
Piyachat Borisut, Supak Phiangsungnoen
openalex +1 more source
Artificial Intelligence for Advanced Functional Materials: Progress and Emerging Frontiers
Artificial intelligence is transforming the discovery of functional materials by linking synthesis, characterization, simulation, and design in unified workflows. Advances in machine learning, autonomous experimentation, and foundation models are accelerating innovation across energy, electronics, and biomedicine, while revealing new frontiers for ...
Cristiano Malica +38 more
wiley +1 more source
Revealing Hidden Raman Signatures Through Attention‐Based Spectral Unmixing
Weak Raman signatures are recovered from background‐dominated spectra using a transformer‐based, reference‐free spectral unmixing AI framework. Self‐attention reconstructs substrate contribution directly from mixed data, enabling reliable extraction of previously inaccessible vibrational features.
Dmitriy A. Poteryayev +9 more
wiley +1 more source
On the eigenvalue problem for one-dimensional differential operator with nonlocal integral condition [PDF]
The article investigates the eigenvalue problem for ordinary onedimensional differential operator with nonlocal integral condition. Such a problem is met in the literature quite rarely and is considerably less investigated.
Sapagovas, M. +5 more
core +1 more source
On the Fučík type problem with integral nonlocal boundary conditions
The Fučík equation $x''=-\mu x^++\lambda x^-$ with integral nonlocal boundary value conditions $x(0)=x(1)=\gamma\int_0^1 x(s)ds$ is considered where $\mu, \lambda, \gamma\in\mathbb{R}$. The Fučík spectrum for this problem is constructed.
Natalija Sergejeva
doaj +1 more source
Two‐Dimensional van der Waals Antiferromagnets: Fabrication, Probes, Control, and Applications
Two‐dimensional van der Waals antiferromagnets are emerging as versatile platforms for spintronic, optoelectronic, and quantum devices. This review summarizes recent progress in their fabrication, magnetic characterization, fields, interfacial engineering, chemical modification, and representative applications.
Huangyu Wu +10 more
wiley +1 more source
LSPR biosensing enables rapid, sensitive, and low‐sample‐volume detection of biomarkers, with broad applications in diagnosing cancer, infectious, and chronic diseases. Advances in nanostructure design, micro/nanofabrication, and microfluidic integration have expanded the potential of LSPR sensors in biomedical diagnostics.
Zhaoxin Geng +4 more
wiley +1 more source

