Results 41 to 50 of about 1,093 (183)

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

Data‐driven emulation of flow‐dependent background‐error variance in variational data assimilation

Quarterly Journal of the Royal Meteorological Society, EarlyView.
A machine‐learning approach is developed to emulate flow‐dependent background‐error variance within a variational data assimilation framework. The method reproduces uncertainty information that would normally require a 50‐member ensemble using only five members, while maintaining comparable observation fit and forecast performance.
Wei Pan, Massimo Bonavita, Marcin Chrust, Elías Hólm   +3 more
wiley   +1 more source

ИНТЕГРАЛЬНЫЕ НЕРАВЕНСТВА В ТЕОРИИ НЕЛИНЕЙНЫХ ДИФФЕРЕНЦИАЛЬНЫХ УРАВНЕНИЙ В ПРОСТРАНСТВЕ БАНАХА

Проблемы анализа, 2002
In this paper we consider estimations of difference solutions of nonlinear differential equations in a Banach space.
МОСЯГИН В.В., ШИРОКОВ Б.М.   +1 more
doaj  

Spectral Submanifolds of Delay Systems: Control in Continuous and Discrete Time

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper presents both continuous‐time and discretization‐based approaches for constructing spectral submanifolds (SSMs) for time delay systems. The continuous‐time approach built upon sun–star calculus, reformulates the governing delay differential equation (DDE) as an operator differential equation (OpDE).
Bence Szaksz, Gábor Orosz, Gábor Stépán   +2 more
wiley   +1 more source

Convergence Theorem for a Family of New Modified Halley’s Method in Banach Space

Journal of Applied Mathematics, 2014
We establish convergence theorems of Newton-Kantorovich type for a family of new modified Halley’s method in Banach space to solve nonlinear operator equations. We present the corresponding error estimate.
Rongfei Lin, Yueqing Zhao, Qingbiao Wu, Jueliang Hu   +3 more
doaj   +1 more source

Existence Results for Systems of Nonlinear Second-Order and Impulsive Differential Equations with Periodic Boundary

Mathematics, 2023
A class for systems of nonlinear second-order differential equations with periodic impulse action are considered. An urgent problem for this class of differential equations is the problem of the quantitative study (existence) in the case when the phase ...
Abdelkader Moumen, Amin Benaissa Cherif, Mohamed Ferhat, Mohamed Bouye, Khaled Zennir   +4 more
doaj   +1 more source

Nonlinear differential equations in reflexive Banach spaces [PDF]

Bulletin of the Australian Mathematical Society, 1974
Let X be a reflexive Banach space and be a family of weakly continuous operators which map X to X. Conditions are provided which guarantee the existence and the uniqueness to the Cauchy initial value problem
openaire   +2 more sources

The Optimal Mean–Variance Selling Problem With Finite Horizon

Mathematical Finance, EarlyView.
ABSTRACT The optimal mean–variance selling problem seeks to determine a dynamically optimal stopping time in the nonlinear problem sup0≤τ≤TE(Xτ)−cVar(Xτ)$\sup _{0 \le \tau \le T} \left[ \mathsf {E}\,\!(X_\tau) - c\, \mathsf {V}ar\,\!(X_\tau) \right]$, where X$X$ is a geometric Brownian motion with strictly positive drift, the supremum is taken over ...
Peter Johnson, Jesper Lund Pedersen, Goran Peskir   +2 more
wiley   +1 more source

Gradient Systems and Scale‐Aware Heat Equations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.
ABSTRACT The extreme miniaturization of modern microelectronic architectures exposes the limitations of classical continuum mechanics, as Fourier's law breaks down at sub‐micron scales (100–0.1 μm$\umu{\rm m}$). While molecular models can accurately capture these thermal flow regimes, they remain computationally expensive.
Grigor Nika
wiley   +1 more source

The convergence theorem for fourth-order super-Halley method in weaker conditions

Journal of Inequalities and Applications, 2016
In this paper, we establish the Newton-Kantorovich convergence theorem of a fourth-order super-Halley method under weaker conditions in Banach space, which is used to solve the nonlinear equations.
Lin Zheng
doaj   +1 more source