Existence and uniqueness of contractive solutions of some Riccati equations

Authors
Adamjan, V Langer, H Tretter, C
Citation
V. Adamjan et al., Existence and uniqueness of contractive solutions of some Riccati equations, J FUNCT ANA, 179(2), 2001, pp. 448-473
Citations number
16
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236 → ACNP
Volume
179
Issue
2
Year of publication
2001
Pages
448 - 473
Database
ISI
SICI code
0022-1236(20010201)179:2<448:EAUOCS>2.0.ZU;2-I
Abstract
In this paper we establish criteria for the existence and uniqueness of con tractive solutions K of the Riccati equation KBK + KA - DK - C = 0 under th e assumption that the spectra of A and D are disjoint. (C) 2001 Academic Pr ess.