Existence of solutions for mean-field integrodifferential equations with delay

IF 0.8 4区数学 Q3 STATISTICS & PROBABILITY

Stochastics and Dynamics Pub Date : 2022-01-26 DOI:10.1142/s0219493722500174

M. Dieye, Amadou Diop, M. McKibben

引用次数: 1

Abstract

In this paper, we study the existence and continuous dependence on coefficients of mild solutions for first-order McKean–Vlasov integrodifferential equations with delay driven by a cylindrical Wiener process using resolvent operator theory and Wasserstein distance. Under the situation that the nonlinear term depends on the probability distribution of the state, the existence and uniqueness of solutions are established. An example illustrating the general results is included.

查看原文本刊更多论文

具有时滞的平均场积分微分方程解的存在性

本文利用解算符理论和Wasserstein距离，研究了圆柱Wiener过程驱动的一阶McKean-Vlasov时滞积分微分方程温和解的存在性及其与系数的连续依赖关系。在非线性项依赖于状态概率分布的情况下，建立了解的存在唯一性。还包括一个说明一般结果的示例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Stochastics and Dynamics 数学-统计学与概率论

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system''s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.