The stability of the equilibrium of a conservative system (Q1922985)
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scientific article; zbMATH DE number 930244
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The stability of the equilibrium of a conservative system |
scientific article; zbMATH DE number 930244 |
Statements
The stability of the equilibrium of a conservative system (English)
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6 November 1997
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The generalized Hill's equation \(x''+a(t) x^{2n+1}+e(t,x)=0\) is studied, where \(a\) is continuous and 1-periodic, \(e\) is also 1-periodic in \(t\) and dominated by the power \(x^{2n+2}\) in a neighbourhood of the origin. Sufficient conditions in terms of \(\int_0^1 a\) are given for the stability of the zero solution.
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generalized Hill's equation
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stability
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