Asymptotic equivalence of differential equations with piecewise constant argument (Q2869111)
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scientific article; zbMATH DE number 6242408
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic equivalence of differential equations with piecewise constant argument |
scientific article; zbMATH DE number 6242408 |
Statements
2 January 2014
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piecewise constant argument
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asymptotic behavior
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equivalence
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0.95130634
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0.95119625
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0.9300597
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0.9184239
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Asymptotic equivalence of differential equations with piecewise constant argument (English)
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The authors study the asymptotic equivalence of stable solutions of the \(n\)-dimensional differential equations with piecewise constant argument NEWLINE\[NEWLINEx'(t)= A(t)+ B(t) x(\gamma(t))NEWLINE\]NEWLINE and NEWLINE\[NEWLINEy'(t)= A(t)y(t)+ f(t,y(t)),y(\gamma(t))),NEWLINE\]NEWLINE where \(\gamma(t)\) is a step function. By using Gronwall type inequalities several new results are obtained.
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