On the theory of one-sided models in spaces with arbitrary cones

A. A. Martynyuk and A. Yu. Obolensky

International Journal of Stochastic Analysis, 1990, vol. 3, 1-13

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.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:985103

DOI: 10.1155/S1048953390000089

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