Results 111 to 120 of about 5,593 (259)

Global nontrivial bifurcation of homogeneous operators with an application to the p-Laplacian

Journal of Mathematical Analysis and Applications, 2006
In the presence of a trivial solution, the author is interested in the existence of a branch of nontrivial solutions for equations involving \(p\)-Laplace operator. The author's arguments are purely topologic; in particular, no differentiation assumptions are made a priori. To this end he uses a blow-up method.
openaire   +2 more sources

Neural‐Network‐Based Event‐Triggered Consensus Tracking for Nonlinear Heterogeneous Multi‐Agent Systems Against Denial‐of‐Service Attacks

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This article proposes a distributed resilient control framework to ensure consensus tracking for nonlinear heterogeneous multi‐agent systems (NHMAS) under aperiodic denial‐of‐service (DoS) attacks. First, a resilient observer is introduced to estimate the leader's state considering that not all agents have direct access to the leader's ...
Li Liu, Bing Yan, Junkang Ni, Peng Shi
wiley   +1 more source

Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivatives

Alexandria Engineering Journal
This paper is concerned for the first time an explicit iteration of an unbounded solution for a turbulent flow model involving ψ-Riemann–Liouville fractional derivatives with the p-Laplacian operator on the infinite interval [a,∞),a≥0.
Sabri T.M. Thabet, Imed Kedim, Bahaaeldin Abdalla, Thabet Abdeljawad   +3 more
doaj   +1 more source

Dy2 Schiff Base Single Molecule Magnet Forming a Halogen Bonding Network: Experiment and Theory

Zeitschrift für anorganische und allgemeine Chemie, EarlyView.
A major challenge to improve SMMs is control over phonon‐based relaxation mechanisms, such as the Raman process. We approach this challenge through the incorporation of intermolecular interactions, which can restrict acoustic phonon modes. For this, we engineer the crystal lattice of a Dy2 SMM using halogen bonding and investigate its properties using ...
Jonas Braun, Christian F. Pachl, Michael Schulze, Jinkui Tang, Wolfgang Wernsdorfer, Christopher E. Anson, Karin Fink, Annie K. Powell   +7 more
wiley   +1 more source

Isolation and Structural Elucidation of the Pnictogen Polysulfate Compounds As2[S2O7]2[S3O10] and [SeCl3][Pn(S2O7)2] (Pn = Sb, Bi)

Zeitschrift für anorganische und allgemeine Chemie, EarlyView.
The isolation and solid‐state structures of the two disulfate‐containing pnictogenates [SeCl3][Pn(S2O7)2] (Pn = Sb, Bi), as well as the mixed‐anionic As2[S2O7]2[S3O10] are presented. The former two consist of complex ∞1{[Pn(S2O7)1/1t(S2O7)2/2e]‐}$$ {\infty }^{1}\left\{{\left[\mathrm{Pn}{\left({\mathrm{S}}_{2}{\mathrm{O}}_{7}\right)}_{1/1}^{\mathrm{t}}{\
Jan Langwald, Luisa Ebels, Marios Symeonidis, Jörn Bruns, Antonio Frontera, Mathias S. Wickleder   +5 more
wiley   +1 more source

Image and video analysis using graph neural network for Internet of Medical Things and computer vision applications

CAAI Transactions on Intelligence Technology, EarlyView.
Abstract Graph neural networks (GNNs) have revolutionised the processing of information by facilitating the transmission of messages between graph nodes. Graph neural networks operate on graph‐structured data, which makes them suitable for a wide variety of computer vision problems, such as link prediction, node classification, and graph classification.
Amit Sharma, Ashutosh Sharma, Alexey Tselykh, Alexander Bozhenyuk, Byung‐Gyu Kim   +4 more
wiley   +1 more source

Enhancing generalized spectral clustering with embedding Laplacian graph regularization

CAAI Transactions on Intelligence Technology, EarlyView.
Abstract An enhanced generalised spectral clustering framework that addresses the limitations of existing methods by incorporating the Laplacian graph and group effect into a regularisation term is presented. By doing so, the framework significantly enhances discrimination power and proves highly effective in handling noisy data.
Hengmin Zhang, Jian Yang, Bob Zhang, Yang Tang, Wenli Du, Bihan Wen   +5 more
wiley   +1 more source

Short‐Term Multi‐Horizon Line Loss Rate Forecasting of a Distribution Network Using Attention‐GCN‐LSTM

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Accurately predicting line loss rates is crucial for effective management in distribution networks, particularly for short‐term multihorizon forecasts ranging from 1 hour to 1 week. In this study, we propose attention‐GCN–LSTM, a novel method that integrates graph convolutional networks (GCN), long short‐term memory (LSTM) and a three‐level ...
Jie Liu, Yijia Cao, Yong Li, Yixiu Guo, Wei Deng   +4 more
wiley   +1 more source

ANPGT: Towards Adaptive Node Property Extraction and Integration

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Graph transformers (GTs) with elaborate positional/structural encodings (PEs/SEs) have excelled in graph representation learning, especially in graph‐level tasks. However, their potential in large‐scale node classification remains untapped for several reasons: (i) Current PEs/SEs are insufficient in modelling large‐scale real‐world graphs ...
Qin Chen, Yuanyi Ren, Guojie Song, Liang Wang, Bo Zheng   +4 more
wiley   +1 more source

Positive solutions to quasilinear equations involving critical exponent on perturbed annular domains

Electronic Journal of Differential Equations, 2005
In this paper we study the existence of positive solutions for the problem $$ -Delta_{p}u=u^{p^{*}-1} quad hbox{in } Omega quad hbox{and} quad u=0 quad hbox{on } partial{Omega} $$ where $Omega$ is a perturbed annular domain (see definition in the ...
Claudianor O. Alves
doaj