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Further results on global stability of third-order nonlinear differential equations. (English) Zbl 1129.34323
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.

##### MSC:
 34D23 Global stability of solutions to ordinary differential equations 34D20 Stability of solutions to ordinary differential equations
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##### References:
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