Further results on global stability of third-order nonlinear differential equations (Q2382625)
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| Language | Label | Description | Also known as |
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| English | Further results on global stability of third-order nonlinear differential equations |
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Further results on global stability of third-order nonlinear differential equations (English)
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1 October 2007
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Consider the differential equation \[ x'''+\psi(x,x')x''+f(x,x')=0\tag{*} \] with \(f(0,0)=0\) and where \(\psi,f,f_x,\psi_x\) are continuous. The author derives conditions for the global asymptotical stability of the trivial solution of (*) improving known results.
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nonlinear differential equation
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trivial solution
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global stability
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Lyapunov method
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