Investigating some spectral properties of two-dimensional hysteresis play-functionals (Q2781913)
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scientific article; zbMATH DE number 1726713
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Investigating some spectral properties of two-dimensional hysteresis play-functionals |
scientific article; zbMATH DE number 1726713 |
Statements
11 April 2002
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scalar play operator
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generating functional of hysteresis operator
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point spectrum
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Investigating some spectral properties of two-dimensional hysteresis play-functionals (English)
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The author studies the point spectrum and the eigenvectors of nonlinear functions, generating scalar play hysteresis operators. He proves that the point spectrum is restricted to the segment \([0,1)\), which reflects the known regularizing properties of the play operators and the Lipschitz property with constant not greater than \(1\).
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0.7045063972473145
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0.699298620223999
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