Lyapunov stability of elliptic periodic solutions of nonlinear damped equations (Q451003)
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scientific article; zbMATH DE number 6086929
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lyapunov stability of elliptic periodic solutions of nonlinear damped equations |
scientific article; zbMATH DE number 6086929 |
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Lyapunov stability of elliptic periodic solutions of nonlinear damped equations (English)
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26 September 2012
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Lyapunov stability
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periodic solution
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twist coefficient
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superlinear problem
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This paper contains some results on the stability of periodic solutions for equations of the type NEWLINE\[NEWLINEx''+h(t)x'+g(t,x)=0,NEWLINE\]NEWLINE where \(h\) and \(g(\cdot ,x)\) are \(2\pi\)-periodic and NEWLINE\[NEWLINE\int_0^{2\pi} h(t)\,dt =0.NEWLINE\]NEWLINE Some of the known techniques for \(h=0\) are adapted to this setting.
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