Results 71 to 80 of about 1,443,049 (296)
Electronic Journal of Differential Equations, 2015 Let $\Omega \in \mathbb{R}^4$ be a bounded open regular set, $x_1, x_2, \dots, x_m \in \Omega$, $\lambda, \rho >0$ and $Q_\lambda$ be a non linear operator (which will be defined later). We prove that the problem $$ \Delta^2u +Q_\lambda(u)= \rho^4 e^
Sami Baraket +2 more
doaj
NONLINEAR EQUATIONS WITH INTEGRATED OPERATOR STRUCTURES
Вестник Северо-Кавказского федерального университета, 2022 The article is devoted to the construction of nonlinear equations with partial derivatives possessing Lax operator structure. The presence of Lax pair is supposed to allow to integrate the obtained equations with the help of the inverse scattering ...
Valentina M. Karslieva
doaj
Nonlinear operators in Banach spaces
Mathematische Annalen, 1966 From the point of view of its applications to nonlinear boundary value problems for partial differential equations (as well as to other problems in nonlinear analysis) the principal result of the Leray-Schauder theory [9] of nonlinear functional equations is embodied in the following theorem: L-S Theorem: Let G be an open subset of the Banach ...
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Advanced Engineering Materials, EarlyView.This study applies machine learning regression to predict chromium layer thickness in decorative trivalent chromium electroplating, using 441 experiments from laboratory‐scale (1L) and pilot‐scale (14L) setups. Tree‐based models, particularly CatBoost, outperformed linear regression by capturing nonlinear parameter interactions (R2$R^2$ up to 0.77 ...
Christoph Baumer +4 more
wiley +1 more source
Three-Order Multipoint Boundary Value Problems for p-Laplacian Operator on Time Scales
Journal of Function Spaces, 2020 In this paper, the existence of positive solutions for the nonlinear four-point singular BVP for there-order with p-Laplacian operator on time scales will be studied.
Hua Su
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Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control. [PDF]
PLoS ONE, 2016 In this wIn this work, we explore finite-dimensional linear representations of nonlinear dynamical systems by restricting the Koopman operator to an invariant subspace spanned by specially chosen observable functions.
Steven L Brunton +3 more
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Nonlinear perturbation of 𝑚-accretive operators [PDF]
Proceedings of the American Mathematical Society, 1974 Let X X be a reflexive Banach space. Conditions sufficient to guarantee that the sum
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Nontrivial solutions of variational inequalities. The degenerate case [PDF]
, 2001 We consider a class of asymptotically linear variational inequalities. We show the existence of a nontrivial solution under assumptions which allow the problem to be degenerate at the ...
Lancelotti, Sergio
core
A Practical Noise2Noise Denoising Pipeline for High‐Throughput Raman Spectroscopy
Advanced Engineering Materials, EarlyView.A lightweight and reproducible denoising pipeline for high‐throughput Raman spectroscopy is introduced, based on a 1D convolutional autoencoder trained with a Noise2Noise strategy. Using only repeated short‐exposure acquisitions, the method suppresses stochastic noise without reference spectra, enabling reliable spectral reconstruction while preserving
David Martin‐Calle +5 more
wiley +1 more source
Nonlinear Dirac Operator and Quaternionic Analysis [PDF]
Communications in Mathematical Physics, 2008 Cosmetic changes ...
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