Hyers-Ulam stability of delay differential equations of first order (Q2786725)
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scientific article; zbMATH DE number 6544724
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyers-Ulam stability of delay differential equations of first order |
scientific article; zbMATH DE number 6544724 |
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Hyers-Ulam stability of delay differential equations of first order (English)
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23 February 2016
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Hyers-Ulam stability
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delay differential equations
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finite delays
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Lipschitz condition
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successive approximation
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The functional differential equation NEWLINE\[NEWLINEx'(t)=f(t,x_t), \eqno {(*)}NEWLINE\]NEWLINE with finite delay is considered, where the function \(f\) is supposed to be Lipschitzian with respect to its second variable. Using Picard's successive approximation method, the authors prove that the Hyers-Ulam stability for the equation (\(*\)) is valid, i.e., an approximate solution of (\(*\)) can be approximated by a solution of (\(*\)).
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