Existence and Uniqueness of the Solution of a Stochastic Partial Functional Differential Equation of a Special Form and Methods of its Computer Modeling

• Date: 2025
• Main Authors: Юрченко, Ігор, Ясинський, Володимир
• Format: Article
• Language: Ukrainian
• Published: Кам'янець-Подільський національний університет імені Івана Огієнка 2025
• Online Access: http://mcm-math.kpnu.edu.ua/article/view/332502
• Journal Title: Mathematical and computer modelling. Series: Physical and mathematical sciences

This article investigates the Cauchy problem for a stochastic partial differential-functional equation (SPDFE) of a special form, which models dynamic processes with memory under the influence of random perturbations. In particular, we examine the mathematical conditions ensuring the existence and u...