C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor +2 more
wiley +1 more source
On the numerical solution of an elliptic problem with nonlocal boundary conditions [PDF]
, 2023 Zorica Milovanović Jeknić +2 more
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Tests of Exponential Stabilization Through Floquet Theory and Act‐And‐Wait Control
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 3303-3316, 15 March 2026.ABSTRACT In this paper, we propose tests of exponential stability based on a version of the Floquet theory for delay differential equations of the first order. Our approach allows researchers to preserve the order of equation and to use the classical methods of the Floquet theory for ordinary differential equations.
Alexander Domoshnitsky, Tsahi Shavit
wiley +1 more source
The strongly nonlocal Allen--Cahn problem
We study the sharp interface limit of the fractional Allen-Cahn equation $$ \varepsilon \partial_t u^{\varepsilon} = \mathcal{I}^s_n [u^{\varepsilon}] -\frac{1}{\varepsilon ^{2s}} W'(u^\varepsilon) \quad \hbox{in}~(0,\infty)\times\mathbb{R}^n, ~n \geq 2, $$ where $\varepsilon >0$, $\mathcal{I}^s_n=-c_{n,s}(-Δ)^s$ is the fractional Laplacian of order
Hasani, Erisa, Patrizi, Stefania
openaire +2 more sources
Nonlocally-induced (quasirelativistic) bound states: Harmonic confinement and the finite well
, 2014 Nonlocal Hamiltonian-type operators, like e.g. fractional and quasirelativistic, seem to be instrumental for a conceptual broadening of current quantum paradigms. However physically relevant properties of related quantum systems have not yet received due
Garbaczewski, Piotr, Żaba, Mariusz
core
Ghost effect from Boltzmann theory
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 558-675, March 2026.Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito +3 more
wiley +1 more source
ON A CLASS OF DEGENERATED NONLOCAL p ( x ) -BIHARMNIC PROBLEM WITH q ( x ) -HARDY POTENTIAL [PDF]
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Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media [PDF]
, 2018 Maria Vasilyeva +4 more
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A FETI approach to domain decomposition for meshfree discretizations of nonlocal problems
, 2021 Xiao Xu +3 more
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Peridynamics with a Cube‐Shaped Neighborhood
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT This paper investigates the effects of cube‐shaped neighborhoods in peridynamic theory as an alternative to the traditional spherical neighborhoods. We examine how different neighborhood geometries influence the behavior of various peridynamic formulations, including bond‐based models, state‐based formulations, and correspondence methods.
Kai Partmann +3 more
wiley +1 more source