Results 11 to 20 of about 13,240 (282)
A nonlocal problem for loaded partial differential equations of fourth order
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A nonlocal problem for the fourth order system of loaded partial differential equations is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova +2 more
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A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations [PDF]
Journal of Applied Mathematics, 2012 This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness
Fang Li +3 more
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An Eigenvalue Problem for Nonlocal Equations
Bruno Pini Mathematical Analysis Seminar, 2016 Bruno Pini Mathematical Analysis Seminar, Seminars ...
Molica Bisci, Giovanni +1 more
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The nonlocal Neumann problem [PDF]
, 2023 Instead of presuming only local interaction, we assume nonlocal interactions. By doing so, mass at a point in space does not only interact with an arbitrarily small neighborhood surrounding it, but it can also interact with mass somewhere far, far away. Thus, mass jumping from one point to another is also a possibility we can consider in our models. So,
Vu, Michael
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Representations of Nonlocal Syntactic Dependencies Feed Verb Learning in Infancy [PDF]
Developmental Science, Volume 29, Issue 4, July 2026.ABSTRACT The ability to represent both local and nonlocal syntactic dependencies emerges in an infant's second year of life, raising questions about how these early syntactic representations interact with language learning in other domains. Using wh‐questions as our case study, we investigate how infants’ syntactic dependency acquisition interacts with
Laurel Perkins +3 more
wiley +2 more sources
AutomataGPT: Transformer‐Based Forecasting and Ruleset Inference for Two‐Dimensional Cellular Automata [PDF]
Advanced Science, Volume 13, Issue 33, 15 June 2026.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 +2 more sources
A Nonlocal Free Boundary Problem [PDF]
SIAM Journal on Mathematical Analysis, 2015 Given~$s,σ\in(0,1)$ and a bounded domain~$Ω\subset\R^n$, we consider the following minimization problem of $s$-Dirichlet plus $σ$-perimeter type $$ [u]_{ H^s(\R^{2n}\setminus(Ω^c)^2) } + \Per_σ\left(\{u>0\},Ω\right), $$ where~$[ \cdot]_{H^s}$ is the fractional Gagliardo seminorm and $\Per_σ$ is the fractional perimeter. Among other results, we prove
S. Dipierro, O. Savin, E. Valdinoci
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ON SOME NONLOCAL VARIATIONAL PROBLEMS [PDF]
Analysis and Applications, 2006 We study uniqueness and non uniqueness of minimizers of functionals involving nonlocal quantities. We give also conditions which lead to a lack of minimizers and we show how minimization on an infinite dimensional space reduces here to a minimization on ℝ. Among other things, we prove that uniqueness of minimizers of functionals of the form ∫Ω a(∫Ω gu
Chipot, M, Gangbo, W, Kawohl, B
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Journal of Mathematics, 2022 Nonlocal contact problem for two-dimensional linear elliptic equations is stated and investigated. The method of separation of variables is used to find the solution of a stated problem in the case of Poisson’s equation.
Tinatin Davitashvili +3 more
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Вестник КазНУ. Серия математика, механика, информатика, 2021 In this paper we consider one class of spectral problems for a nonlocal ordinary differential operator (with involution in the main part) with nonlocal boundary conditions of periodic type.
G. Dildabek +2 more
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