Results 141 to 150 of about 2,989,822 (277)
Engineering Reports, Volume 8, Issue 2, February 2026.This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad +3 more
wiley +1 more source
The Helmholtz decomposition of vector fields for two-dimensional exterior Lipschitz domains
AIMS MathematicsLet $ \Omega $ be an exterior Lipschitz domain in $ \mathbb{R}^2 $. It is proved that the Helmholtz decomposition of the vector fields in $ L_p (\Omega; \mathbb{R}^2) $ exists if $ p $ satisfies $ \lvert1/ p - 1/ 2 \rvert < 1/ 4+ \varepsilon $ with ...
Keiichi Watanabe
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Dirichlet-to-Neumann maps on bounded Lipschitz domains [PDF]
, 2014 Jussi Behrndt, Tom Ter Elst
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 3, Page 1914-1942, February 2026.ABSTRACT Examining the extent to which measurements of rotation matrices are close to each other is challenging due measurement noise. To overcome this, data is typically smoothed, and the Riemannian and Euclidean metrics are applied. However, if rotation matrices are not directly measured and are instead formed by eigenvectors of measured symmetric ...
P. D. Ledger +2 more
wiley +1 more source
A semilinear control problem involving homogenization
Electronic Journal of Differential Equations, 2001 We consider a control problem involving a semilinear elliptic equation with a uniformly Lipschitz non-linearity and rapidly oscillating coefficients in a bounded domain of $mathbb{R}^N$.
Carlos Conca +2 more
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Definition and Computation of Tensor‐Based Generalized Function Composition
Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.ABSTRACT Functions are fundamental to mathematics as they offer a structured and analytical framework to express relations between variables. While scalar and matrix‐based functions are well‐established, higher‐order tensor‐based functions have not been as extensively explored.
Remy Boyer
wiley +1 more source
Potential maps, Hardy spaces, and tent spaces on special Lipschitz domains [PDF]
, 2010 Martin Costabel +2 more
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REAL-VARIABLE CHARACTERIZATIONS OF VARIABLE HARDY SPACES ON LIPSCHITZ DOMAINS OF ℝ n [PDF]
, 2021 Xiong Liu
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On Hyperexponential Stabilization of Perturbed Unicycle Dynamics
International Journal of Robust and Nonlinear Control, Volume 36, Issue 3, Page 1477-1486, February 2026.ABSTRACT The problem of hyperexponential stabilization for a mobile robot is addressed by leveraging its kinematic model with external perturbations. To this end, a robust nonlinear control law is designed, and several state and time transformations are introduced, reformulating the system model to an interconnection of integrators.
Moussa Labbadi, Denis Efimov
wiley +1 more source
Nonuniqueness of solutions of initial-value problems for parabolic p-Laplacian
Electronic Journal of Differential Equations, 2015 We construct a positive solution to a quasilinear parabolic problem in a bounded spatial domain with the p-Laplacian and a nonsmooth reaction function. We obtain nonuniqueness for zero initial data.
Jiri Benedikt +4 more
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