The asymptotic behavior of a class of second-order differential equations with applications to electrical circuit equations (Q916855)
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scientific article; zbMATH DE number 4154925
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The asymptotic behavior of a class of second-order differential equations with applications to electrical circuit equations |
scientific article; zbMATH DE number 4154925 |
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The asymptotic behavior of a class of second-order differential equations with applications to electrical circuit equations (English)
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1990
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The author considers the asymptotic behavior of solutions of the system of differential equations \[ \dot x=y,\quad C\dot y=A(x,y)y+\text{grad} G(x)=0 \] in which C is a positive definite diagonal matrix. They study the convergence of the solutions of this system by considering an energy integral \(\int^{t}_{0}\| y(\sigma)\|^ 2 d\sigma\).
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asymptotic behavior of solutions
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