On the theory of one-sided models in spaces with arbitrary cones (Q750697)
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scientific article; zbMATH DE number 4175410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the theory of one-sided models in spaces with arbitrary cones |
scientific article; zbMATH DE number 4175410 |
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On the theory of one-sided models in spaces with arbitrary cones (English)
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1990
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Summary: 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 systems and exponential u-stability on minimal attraction center provides u-stability of the total systems. Examples are available.
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quasimonotone nonautonomous systems
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Perron condition
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non-wandering points
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u-stability of quasimonotone nonlinear systems
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exponential u- stability on minimal attraction center
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