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To the problems of acceptability of approximate solutions of differential equations - MaRDI portal

To the problems of acceptability of approximate solutions of differential equations (Q1589061)

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scientific article; zbMATH DE number 1541492
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To the problems of acceptability of approximate solutions of differential equations
scientific article; zbMATH DE number 1541492

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    To the problems of acceptability of approximate solutions of differential equations (English)
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    7 March 2001
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    Here, the concept of acceptability of approximate solutions with respect to a part of the variables in differential equations depending on a parameter is introduced. Sufficient conditions in terms of Lyapunov functions are obtained for the acceptability of approximate solutions. An example is given to illustrate the method developed here.
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    approximate solution with respect to a part of the variables
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    Lyapunov function
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