On periodic and bounded solutions of the operator Riccati equation
type: Item
instance of: scholarly article
title: On periodic and bounded solutions of the operator Riccati equation
zbMATH Open document ID: 0805.60049
DOI: 10.1007/BF01060981
author: A. Ya. Dorogovtsev
published in: Ukrainian Mathematical Journal
publication date: 1994-09-20T00:00:00Z
review text: This paper is the first in a series in which conditions for the existence of stochastically periodic solutions to nonlinear differential equations with random periodic perturbations are investigated. It is also assumed that such solutions do not satisfy a Lipschitz condition over the whole space. Here the deterministic case is examined, the Riccati equation being used as an example.
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 635716
zbMATH Keywords: existence of stochastically periodic solutions
zbMATH Keywords: random periodic perturbations
zbMATH Keywords: Riccati equation
reviewed by: Andrew Dale
MaRDI profile type: Publication
cites work: Q3665108
cites work: Linear Operator Equations
full work available at URL: https://doi.org/10.1007/bf01060981
OpenAlex ID: W2091713328
description: scientific article; zbMATH DE number 635716