Journal of Applied Mathematics and Stochastic Analysis 
Volume 8 (1995), Issue 2, Pages 195-200
doi:10.1155/S1048953395000189

Bound and periodic solutions of the Riccati equation in Banach space

A. Ya. Dorogovtsev and T. A. Petrova

 Kiev University, Mechanics and Mathematics Department, Vladimirskaya 64, Kiev-17 252125, Ukraine
Received 1 June 1994; Revised 1 January 1995

Abstract

An abstract, nonlinear, differential equation in Banach space is considered. Conditions are presented for the existence of bounded solutions of this equation with a bounded right side, and also for the existence of stationary (periodic) solutions of this equation with a stationary (periodic) process in the right side.