Invariant convex classes of states of continual relay systems (Q1920370)
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scientific article; zbMATH DE number 919493
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant convex classes of states of continual relay systems |
scientific article; zbMATH DE number 919493 |
Statements
Invariant convex classes of states of continual relay systems (English)
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16 March 1997
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A large class of admissible states is generally inconvenient for studying free and forced periodic oscillations in systems described by ordinary differential equations or evolution equations of mathematical physics. In this paper, taking narrower classes of states having additional special properties and using operator methods, it is possible to construct nonlinear completely continuous operators whose fixed points define the periodic solutions of evolution problems with hysteresis.
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periodic oscillations
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operator methods
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nonlinear
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continuous operators
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fixed points
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periodic solutions
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hysteresis
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