Integral varieties of a system of differential equations with a random right part in the Banach space

• Date: 1992
• Main Authors: Kolomiets , V. G., Melnikov , A. I., Коломиец , В. Г., Мельников, А. И.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2316
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The concept of an integral manifold of a system of differential equations with a random right-hand side is introduced. The problem of the existence of an integral manifold of a certain class of differential equations in a Banach space and several of its properties are investigated.