Bound and periodic solutions of the Riccati equation in Banach space. (1995)

• Record Type: Journal Article
• Authors: Dorogovtsev, A. Ya.; Petrova, T. A.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 8:Number 2(1995)
• Page Start: 195
• Page End: 200
• Publication Date: 1995
• Subjects: abstract nonlinear equations -- bounded solutions -- stationary and periodic solution; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953395000189
• Languages: English
• ISSNs: 1048-9533

Abstract

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.