On the theory of one-sided models in spaces with arbitrary cones. (1990)

• Record Type: Journal Article
• Authors: Martynyuk, A. A.; Obolensky, A. Yu.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 3:Number 2(1990)
• Page Start: 85
• Page End: 97
• Publication Date: 1990
• Subjects: quasimonotone models -- montone extension -- u-stability -- Perron condition -- non-wandering points -- minimal attraction center; 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/S1048953390000089
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : The paper presents a way of constructing quasimonotone nonautonomous systems ensuring x -stability of the nonautonomous system. There are described extensions quasimonotone with respect to an arbitrary cone, Perron condition and invariant surface stability under perturbations U -stability on the set of non wandering points is proved to imply u -stability of quasimonotone nonlinear system and exponential u -stability on minimal attraction center provides u -stability of the total systems Examples are available.