Controllability of linear equations of Sobolev type with relatively \(p\)-radial operators (Q1397523)
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scientific article; zbMATH DE number 1960480
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Controllability of linear equations of Sobolev type with relatively \(p\)-radial operators |
scientific article; zbMATH DE number 1960480 |
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Controllability of linear equations of Sobolev type with relatively \(p\)-radial operators (English)
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11 August 2003
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A differential equation unsolved with respect to the derivative is considered in a Hilbert space. The standard definition of controllability is introduced for this equation. Namely, an equation is called controllable if a set of states attainable from zero is dense in the space of states. For two types of equations, necessary and sufficient conditions for controllability are substantiated by means of the theory of degenerate strongly continuous semigroups of operators.
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controllability
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degenerate strongly continuous semigroups of operators
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