Results 101 to 110 of about 76,798 (219)

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

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

Algebras of Calderón–Zygmund Operators Associated with Para-Accretive Functions on Spaces of Normal Homogeneous Type

Mathematics
In this paper, by using several almost orthogonal estimates and a continuous Calderón reproducing formula associated with para-accretive functions, we obtain the algebras of generalized-product Calderón–Zygmund operators under the condition T1(b1)=T1*(b1)
Rong Liang, Taotao Zheng, Xiangxing Tao
doaj   +1 more source

Asymptotics and algebraicity of some generating functions

Advances in Mathematics, 1987
Some generating functions \(\sum_{n\geq 0}f(n)x^ n\), arising in combinatorics and algebra, are shown to be nonalgebraic by calculating the asymptotics of f(n). Some other such generating functions are shown to be algebraic by an application of determinantal varieties and G- invariant ideals.
Beckner, William, Regev, Amitai
openaire   +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

Group analysis of differential equations and generalized functions

, 1998
We present an extension of the methods of classical Lie group analysis of differential equations to equations involving generalized functions (in particular: distributions). A suitable framework for such a generalization is provided by Colombeau's theory
Kunzinger, Michael, Oberguggenberger, Michael   +1 more
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

Generalized Buchdahl equations as Lie–Hamilton systems from the 'book' and oscillator algebras: quantum deformations and their general solution

AIMS Mathematics
We revisit the nonlinear second-order differential equations $ \ddot{x}(t) = a (x)\dot{x}(t)^2+b(t)\dot{x}(t), $ where $ a(x) $ and $ b(t) $ are arbitrary functions on their argument from the perspective of Lie–Hamilton systems.
Rutwig Campoamor-Stursberg, Eduardo Fernández-Saiz, Francisco J. Herranz   +2 more
doaj   +1 more source

On the Convergence of Conjugate Gradient and GMRES Algorithms in the Forward Backward Sweep Method for Optimal Control

Optimal Control Applications and Methods, EarlyView.
Optimal control combines state and adjoint equations, which yield the state (x$$ x $$) and adjoint (lambda) variables as a function of the control variables (u$$ u $$). This structure allows us to design strategies for iteratively updating the control variable, based on conjugate gradient (CG) or GMRES algorithms.
N. Armengou‐Riera, N. Rabiei, A. Bijalwan, A. Rodríguez‐Ferran, J. J. Muñoz   +4 more
wiley   +1 more source

Existence and Uniqueness of Fixed-Point Results in Non-Solid C^⋆-Algebra-Valued Bipolar b-Metric Spaces

Mathematics
In this monograph, motivated by the work of Aphane, Gaba, and Xu, we explore fixed-point theory within the framework of C⋆-algebra-valued bipolar b-metric spaces, characterized by a non-solid positive cone.
Annel Thembinkosi Bokodisa, Maggie Aphane   +1 more
doaj   +1 more source