Results 91 to 100 of about 30,910 (222)
Journal of Function Spaces, 2019 We consider the initial boundary value problem of a nonlinear viscoelastic equation of Kirchhoff-type with nonlinear damping and velocity-dependent material density.
Jian Dang, Qingying Hu, Hongwei Zhang
doaj +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Existence of solutions for Kirchhoff type equations
Electronic Journal of Differential Equations, 2015 Summary: In this article, we prove the existence of solutions for Kirchhoff type equations with Dirichlet boundary-value condition. We use the Mountain Pass Theorem in critical point theory, without the (PS) condition.
Qi-Lin Xie, Xing-Ping Wu, Chun-Lei Tang
openaire +2 more sources
Hardware‐Based On‐Chip Learning Using a Ferroelectric AND‐Type Array With Random Synaptic Weights
Advanced Intelligent Systems, EarlyView.This work demonstrates an energy‐efficient on‐chip learning system using an Metal‐Ferroelectric‐Insulator‐Semiconductor FeAND synaptic array. By employing a feedback alignment scheme with a separate backward array using fixed random weights, the system overcomes directional limitations of AND‐type arrays and achieves robust, low‐power learning suitable
Minsuk Song +8 more
wiley +1 more source
Superlinear Kirchhoff-type problems of the fractional p-Laplacian without the (AR) condition
Boundary Value Problems, 2018 In this paper, we study the following superlinear p-Kirchhoff-type equation: {M(∫R2N|u(x)−u(y)|p|x−y|N+psdxdy)(−△)psu(x)−λ|u|p−2u=g(x,u)in Ω,u=0in RN∖Ω, $$\begin{aligned} \textstyle\begin{cases} \mathcal{M} (\int_{\mathbb{R}^{2N}}\frac { \vert u(x)-u(y) \
Jiabin Zuo, Tianqing An, Mingwei Li
doaj +1 more source
Ground state solution of a nonlocal boundary-value problem
, 2013 In this paper, we apply the method of the Nehari manifold to study the Kirchhoff type equation \begin{equation*} -\Big(a+b\int_\Omega|\nabla u|^2dx\Big)\Delta u=f(x,u) \end{equation*} submitted to Dirichlet boundary conditions.
Batkam, Cyril Joel
core +1 more source
Device‐Level Implementation of Reservoir Computing With Memristors
Advanced Intelligent Systems, EarlyView.Reservoir computing (RC) is an emerging computing scheme that employs a reservoir and a single readout layer, which can be actualized in the nanoscale with memristors. As a comprehensive overview, the principles of RC and the switching mechanisms of memristors are discussed, followed by actual demonstrations of memristor‐based RC and the remaining ...
Sunbeom Park, Hyojung Kim, Ho Won Jang
wiley +1 more source
Global solutions for fractional viscoelastic equations with logarithmic nonlinearities
Electronic Journal of Differential Equations, 2020 In this article we study a fractional viscoelastic equation of Kirchhoff type with logarithmic nonlinearities. Under suitable conditions we prove the existence of global solutions and the exponential decay of the energy.
Eugenio Cabanillas Lapa
doaj
Strong Solutions and Global Attractors for Kirchhoff Type Equation
Mathematical Problems in Engineering, 2018 We study the long-time behavior of the Kirchhoff type equation with linear damping. We prove the existence of strong solution and the semigroup associated with the solution possesses a global attractor in the higher phase space.
openaire +2 more sources
A Novel Milli‐Scale Magnetic Robot Exploiting Rotation for Controlled Magnetic Particles Release
Advanced Intelligent Systems, EarlyView.Delivering magnetic particles can become a game changer in minimally invasive medicine. To cope with this challenge, a magnetically actuated milli‐scale carrier leveraging rotation to perform on‐demand tunable release of magnetic particles across multiple release events is presented.
Giordano De Angelis +3 more
wiley +1 more source