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

[摘要] The paper presents a way of constructing quasimonotone nonautonomous systems ensuringx-stability of the nonautonomous system. There are described extensions quasimonotone with respect to an arbitrary cone, Perron condition and invariant surface stability under perturbationsU-stability on the set of non wandering points is proved to implyu-stability of quasimonotone nonlinear system and exponentialu-stability on minimal attraction center providesu-stability of the total systems Examples are available.

[学科分类] 应用数学