Results 111 to 120 of about 73,165 (262)

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng, Hao Shen, Ranchao Wu, Hao Wang   +3 more
wiley   +1 more source

The smallest eigenvalue of the signless Laplacian

, 2011
Recently the signless Laplacian matrix of graphs has been intensively investigated. While there are many results about the largest eigenvalue of the signless Laplacian, the properties of its smallest eigenvalue are less well studied.
Nikiforov, Vladimir, Oliveira, Carla Silva, Leonardo Silva de Lima, Vladimir Nikiforov, Nair Maria Maia de Abreu, Carla Silva Oliveira, De Abreu, Nair Maria Maia, De Lima, Leonardo Silva   +7 more
core   +1 more source

Leighton–Wintner‐Type Oscillation Criteria for the p(t)$$ p(t) $$‐Laplacian Dynamic Equations on Time Scales

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study investigates oscillation problems for p(t)$$ p(t) $$‐Laplacian dynamic equations on time scales. By employing the Riccati transformation technique, we establish a new Leighton–Wintner‐type oscillation theorem for the equations under consideration, which unifies and extends existing results for both differential and difference ...
Kōdai Fujimoto, Kazuki Ishibashi, Masakazu Onitsuka   +2 more
wiley   +1 more source

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

An Implicit Nodal–Staggered Finite Difference Scheme for Damped Shear Beam Models Without Rotational Inertia

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We develop and analyze a fully discrete finite difference approximation for a damped shear beam model with mixed boundary conditions and no rotational inertia. The absence of a second‐order time derivative in the rotational equation gives rise to an asymmetric temporal structure.
Anderson de Jesus Araújo Ramos, André Fellipe Ribeiro de Almeida, Manoel Jeremias Dos Santos, Carlos Alberto da Silva Nonato   +3 more
wiley   +1 more source

Existence and Stability Analysis of Classical and Fractional‐Order Generalized Brusselator Reaction‐Diffusion System

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The present work is devoted to establishing existence results and examining the stability properties of solutions associated with a generalized Brusselator reaction–diffusion system in both the classical and fractional‐order settings. The corresponding ODE and PDE formulations are considered to establish the global existence of solutions in ...
Fadia Haouam, Lamia Djebara, Salem Abdelmalek, Mokhtar Kirane   +3 more
wiley   +1 more source

On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs

Journal of New Theory, 2018
We introduce the concept of Path Laplacian Matrix for a graph and explore the eigenvalues of this matrix. The eigenvalues of this matrix are called the path Laplacian eigenvalues of the graph.
Shridhar Chandrakant Patekar, Maruti Mukinda Shikare   +1 more
doaj  

Developments on Spectral Characterizations of Graphs [PDF]

In [E.R. van Dam and W.H. Haemers, Which graphs are determined by their spectrum?, Linear Algebra Appl. 373 (2003), 241-272] we gave a survey of answers to the question of which graphs are determined by the spectrum of some matrix associated to the graph.
Dam, E.R. van, Haemers, W.H.
core  

KARAKTERISASI KONGRUENSI UNIMODULAR MATRIKS LAPLACIAN GRAF SEDERHANA [PDF]

, 2018
Misalkan graf sederhana. Matriks Laplacian graf adalah , dimana matriks diagonal dengan entri derajat titik dan matriks adjasensi graf . Skripsi ini mengkaji karakterisasi kongruensi unimodular matriks Laplacian graf sederhana.
LUKITO, AGUNG, NUFUS, ATIROTUN
core  

From Breath‐Hold to Free‐Breathing: Possibilities in High‐Resolution Quantitative Susceptibility Mapping (QSM) of the Kidney With Respiratory Gating

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose This study aimed to assess the feasibility of QSM in the human kidney during free‐breathing using respiratory gating for motion compensation. Methods Renal imaging of 15 healthy volunteers was performed using an axial multi‐echo GRE sequence on a 3 T MRI scanner.
Matthias Deitermann, Birte Sehlmeyer, Thomas Andreas Thiel, Hans‐Jörg Wittsack, Alexandra Ljimani, Anja Müller‐Lutz, Gerald Antoch, Eric Bechler   +7 more
wiley   +1 more source