Results 121 to 130 of about 190,067 (305)

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

A tau-Gegenbauer spectral approach for systems of fractional integro-differential equations with the error analysis

AIMS Mathematics
This research paper focused on the solution of systems of fractional integro-differential equations (FIDEs) of the Volterra type with variable coefficients. The proposed approach combined the tau method and shifted Gegenbauer polynomials in a matrix form.
Khadijeh Sadri , David Amilo, Kamyar Hosseini, Evren Hinçal , Aly R. Seadawy   +4 more
doaj   +1 more source

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

Estimation and Global Stability Analysis of PDAEs with Singular Time Derivative Matrix and Wetland Conservation Application

Discrete Dynamics in Nature and Society, 2016
Some partial differential algebraic equations (PDAEs) system with singular time derivative matrices is analyzed. First, by PDE spectrum theory, this system is formulated as infinite-dimensional singular systems. Second, the state space and its properties
Yushan Jiang, Qingling Zhang
doaj   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Ellipsoid‐Based Interval‐Type Uncertainty Model Updating Based on Riemannian Manifold and Gaussian Process Model

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern engineering systems require advanced uncertainty‐aware model updating methods that address parameter correlations beyond conventional interval analysis. This paper proposes a novel framework integrating Riemannian manifold theory with Gaussian Process Regression (GPR) for systems governed by Symmetric Positive‐Definite (SPD) matrix ...
Yanhe Tao, Qintao Guo, Jin Zhou, Cheng Yi   +3 more
wiley   +1 more source

Galois Theory of Parameterized Differential Equations and Linear Differential Algebraic Groups

, 2005
We present a Galois theory of parameterized linear differential equations where the Galois groups are linear differential algebraic groups, that is, groups of matrices whose entries are functions of the parameters and satisfy a set of differential ...
Cassidy, Phyllis J., Singer, Michael F.
core   +2 more sources

Bending Analysis of Thickness‐ and Shear‐Deformable Materially Imperfect Composite Shells With von Kármán‐Type Geometric Nonlinearities

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Geometrically nonlinear static analysis of materially imperfect composite doubly curved shells is investigated via the generalised differential quadrature method. The effects of both shear and thickness deformation are considered through a thickness‐ and shear‐deformable third‐order theory formulated in curvilinear coordinates, while the ...
Behrouz Karami, Mergen H. Ghayesh, Shahid Hussain, Marco Amabili   +3 more
wiley   +1 more source

Gap Symmetry, Electronic Structure and Interplay Between Superconductivity and Spin Density Wave in Sr1−xKxFe2As2 Superconductor

Nano Select, EarlyView.
In moderately hole‐doped Sr1−xKxFe2As2${\rm Sr}_{1-x}{\rm K}_x{\rm Fe}_2{\rm As}_2$ system the pairing state is s+−${\rm s}^{+-}$ wave pairing state mediated by spin fluctuations. As the SDW order parameter increases, TC${\rm T}_C$ decreases and TM${\rm T}_M$ increases. As temperature increases, the SDW order parameter decreases and vanishes at TM${\rm
Gedefaw Mebratie, Tamiru Negussie, Geberegziabher Kahsay   +2 more
wiley   +1 more source

The Organisation of Trade Data for Inclusion in a Social Accounting Matrix [PDF]

This paper describes the procedure followed to organise trade data obtained from the South African Revenue Service for inclusion in the PROVIDE Project Social Accounting Matrices. The data is aggregated in order to determine the custom's value of imports
Punt, Cecilia
core   +1 more source