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
On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition
Positive eigenvalues and corresponding eigenfunctions of the linear Sturm‐Liouville problem with one classical boundary condition and another nonlocal two‐point boundary condition are considered in this paper.
Sigita Pečiulytė, Artūras Štikonas
doaj +1 more source
On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions [PDF]
Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper.
Rakhmonov, Zafar R., Urunbayev, Jasur E.
openaire +2 more sources
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
Direct and inverse spectral problems for Dirac systems with nonlocal potentials [PDF]
The main purposes of this paper are to study the direct and inverse spectral problems of the one-dimensional Dirac operators with nonlocal potentials. Based on informations about the spectrum of the operator, we find the potential and recover the form of
Kamila Dębowska, Leonid P. Nizhnik
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On Nonlinear Coupled System with Nonlocal Boundary Conditions
Summary: We discuss the existence, uniqueness and stability exponential and polynomial of global solutions for a nonlinear coupled system with nonlocal boundary conditions given by \[ \begin{aligned} u_{tt}+\Delta^2u+f(u-v) & =0\text{ in }\Omega\times (0,\infty),\\ v_{tt}-\Delta v-f(u-v)& =0\text{ in }\Omega\times(0,\infty),\\ u=0 \text{ on }\Gamma_0 ...
U. R. Soares, C. A. Raposo, M. L. Santos
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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
Discontinuous Parabolic Problems with a Nonlocal Initial Condition [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +4 more sources
Identification hyperbolic problems with nonlocal conditions
In the present study, a identification problem with nonlocal conditions for a one-dimensional hyperbolic equation is investigated. Stability estimates for the solution of the identification problem are established.
Ashyralyev A., Emharab F.
core +2 more sources
Nonlocal boundary value problem in terms of flow for Sturm-Liouville operator in differential and difference statements [PDF]
Sturm-Liouville operator with second kind of nonlocal boundary value conditions is considered. For the classical solution, a priori estimate is established and unique existence is proved.
Dovlet M. Dovletov
doaj +1 more source

