Hammerstein积分差分方程的单调性和离散性

IF 1 Q3 Engineering

Journal of Computational Dynamics Pub Date : 2022-01-01 DOI:10.3934/jcd.2022023

Magdalena Nockowska-Rosiak, C. Pötzsche

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引用次数: 1

摘要

本文给出了向量值Hammerstein积分算子在紧域上的单调性、亚齐性和凹性的充分条件，以及这些性质在退化核型数值离散化下的持久性。这对Hammerstein积分差分方程的动力学有直接的影响，并允许推导局部-全局稳定性原理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Monotonicity and discretization of Hammerstein integrodifference equations

The paper provides sufficient conditions for monotonicity, subhomogeneity and concavity of vector-valued Hammerstein integral operators over compact domains, as well as for the persistence of these properties under numerical discretizations of degenerate kernel type. This has immediate consequences on the dynamics of Hammerstein integrodifference equations and allows to deduce a local-global stability principle.

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来源期刊

Journal of Computational Dynamics Engineering-Computational Mechanics

CiteScore

2.30

自引率

10.00%

发文量

期刊介绍： JCD is focused on the intersection of computation with deterministic and stochastic dynamics. The mission of the journal is to publish papers that explore new computational methods for analyzing dynamic problems or use novel dynamical methods to improve computation. The subject matter of JCD includes both fundamental mathematical contributions and applications to problems from science and engineering. A non-exhaustive list of topics includes * Computation of phase-space structures and bifurcations * Multi-time-scale methods * Structure-preserving integration * Nonlinear and stochastic model reduction * Set-valued numerical techniques * Network and distributed dynamics JCD includes both original research and survey papers that give a detailed and illuminating treatment of an important area of current interest. The editorial board of JCD consists of world-leading researchers from mathematics, engineering, and science, all of whom are experts in both computational methods and the theory of dynamical systems.