An existence theorem for general control problems of nonlinear evolution equations of first order (Q750866)
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scientific article; zbMATH DE number 4175825
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An existence theorem for general control problems of nonlinear evolution equations of first order |
scientific article; zbMATH DE number 4175825 |
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An existence theorem for general control problems of nonlinear evolution equations of first order (English)
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1990
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Summary: We prove an existence theorem for the solution of optimal control problems for systems governed by the state equation \(\dot y+vAy+B(y)=u\) where A is a linear operator and B a nonlinear operator with \(\| B(y)\|_ n\leq c(1+\| y\|^ r_ m)\).
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nonlinear evolution equations
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