Results 51 to 60 of about 35,438 (237)
Nontrivial solutions of systems of Hammerstein integral equations with first derivative dependence
, 2017 By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations where the nonlinearities are allowed to depend on the first
Infante, Gennaro, Minhós, Feliz
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Algorithmic Design of Disordered Networks With Arbitrary Coordination: Application to Biophotonics
Advanced Functional Materials, EarlyView.Predictive Design of Disordered Networks: Disordered network‐like morphologies are abundant in nature, from cytoskeletal networks to bone structures and chalcogenide glasses. These structures are naturally hard to characterize. A new algorithmic tool extends the established Wooten–Weaire–Winer (WWW) algorithm to valencies above 4.
Florin Hemmann +3 more
wiley +1 more source
Advanced Science, EarlyView.We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich +2 more
wiley +1 more source
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper we investigate a class of loaded ordinary differential equations with nonlocal integral boundary conditions in terms of an abstruse operator equation Bu = A 2 u - q Ψ( u ) = f, f ∈ Y, (1) D ( B ) = { u ∈ D ( A 2) : Φ( u ) = NF ( Au ) , Φ ...
I.N. Parasidis
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Positive solutions of nonlocal fractional boundary value problem involving Riemann–Stieltjes integral condition [PDF]
Journal of Applied Mathematics and Computing, 2020 In this paper, we investigate the existence of positive solutions for a nonlocal fractional boundary value problem involving Caputo fractional derivative and nonlocal Riemann-Stieltjes integral boundary condition. By using the spectral analysis of the relevant linear operator and Gelfand's formula, we obtain an useful upper and lower bounds for the ...
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Advanced Science, EarlyView.Photonic time crystals (PTCs) are systems in which electromagnetic parameters are modulated periodically in time, producing momentum bandgaps via temporal scattering rather than spatial Bragg processes. This review examines the theoretical frameworks, modeling, and computational tools for time‐varying media, and summarizes experimental demonstrations ...
Ranjan Kumar Patel +3 more
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Inverse nodal problem for Dirac operator with integral type nonlocal boundary conditions
Mathematical Methods in the Applied Sciences, 2022 In this paper, Dirac operator with some integral type nonlocal boundary conditions is studied. We show that the coefficients of the problem can be uniquely determined by a dense set of nodal points. Moreover, we give an algorithm for the reconstruction of some coefficients of the operator.
A. Sinan Ozkan, İbrahim Adalar
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Advanced Science, EarlyView.A one‐dimensional sp2‐carbon covalent organic framework with spatially segregated redox centers integrates a dual photosensitizing system and a cationic interface for synergistic photocatalysis. The material achieves exceptional palladium recovery (1749 mg g−1) and bisphenol A mineralization (0.1710 min−1) without sacrificial agents, demonstrating ...
Yi‐Ru Chen +9 more
wiley +1 more source
Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
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Iterative solutions for fractional nonlocal boundary value problems involving integral conditions [PDF]
Boundary Value Problems, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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