论状态相关延迟的显式抽象中性微分方程

IF 1.6 2区数学 Q2 MATHEMATICS, APPLIED

Applied Mathematics and Optimization Pub Date : 2024-05-24 DOI:10.1007/s00245-024-10146-1

Eduardo Hernandez, Michelle Pierri

引用次数: 0

摘要

我们研究了一类具有状态相关延迟的抽象显式中性方程的局部和全局存在性以及严格解的唯一性。我们还列举了一些与状态相关延迟的显式偏中性微分方程的例子。

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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On Explicit Abstract Neutral Differential Equations with State-Dependent Delay

We study the local and global existence and uniqueness of a strict solution for a general class of abstract explicit neutral equations with state-dependent delay. Some examples on explicit partial neutral differential equations with state dependent delay are presented.

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来源期刊

Applied Mathematics and Optimization 数学-应用数学

CiteScore

3.30

自引率

5.60%

发文量

103

审稿时长

>12 weeks

期刊介绍： The Applied Mathematics and Optimization Journal covers a broad range of mathematical methods in particular those that bridge with optimization and have some connection with applications. Core topics include calculus of variations, partial differential equations, stochastic control, optimization of deterministic or stochastic systems in discrete or continuous time, homogenization, control theory, mean field games, dynamic games and optimal transport. Algorithmic, data analytic, machine learning and numerical methods which support the modeling and analysis of optimization problems are encouraged. Of great interest are papers which show some novel idea in either the theory or model which include some connection with potential applications in science and engineering.