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On the Opial type criterion for the well-posedness of the Cauchy problem for linear systems of ordinary differential equations - MaRDI portal

On the Opial type criterion for the well-posedness of the Cauchy problem for linear systems of ordinary differential equations (Q325096)

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scientific article; zbMATH DE number 6640041
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English
On the Opial type criterion for the well-posedness of the Cauchy problem for linear systems of ordinary differential equations
scientific article; zbMATH DE number 6640041

    Statements

    On the Opial type criterion for the well-posedness of the Cauchy problem for linear systems of ordinary differential equations (English)
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    17 October 2016
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    Necessary and sufficient conditions for the well-posedness of the Cauchy problem for systems of linear ordinary differential equations are obtained, analogous to the sufficient condition by Z.~Opial. Moreover, efficient sufficient conditions are given.
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    linear systems of ordinary differential equations
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    the Cauchy problem
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    well-posedness
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    the Opial type condition
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    necessary and sufficient conditions
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    efficient sufficient conditions
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