On a weakened Cauchy problem for a linear differential inclusion (Q881022)
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scientific article; zbMATH DE number 5155472
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a weakened Cauchy problem for a linear differential inclusion |
scientific article; zbMATH DE number 5155472 |
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On a weakened Cauchy problem for a linear differential inclusion (English)
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21 May 2007
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The author introduces and studies the concept of weakened solution for a Cauchy problem of the form \[ \dot x(t)\in A(x(t)),\quad x(0)=x_0, \] where the right-hand side \(A\) is a closed linear relation on a Banach space \(X\), i.e., the graph of \(A\) is a closed linear subspace of \(X\times X\).
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differential inclusion
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