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On the asymptotic behavior of solutions of certain third-order nonlinear differential equations. (English) Zbl 1077.34052
Summary: We establish sufficient conditions under which all solutions of the third-order nonlinear differential equation \(\dddot x+\psi(x,\dot x, \ddot x)\ddot x+ f(x,\dot x)= p(t, x,\dot x,\ddot x)\) are bounded and converge to zero as \(t\to\infty\).

MSC:
34D05 Asymptotic properties of solutions to ordinary differential equations
34C11 Growth and boundedness of solutions to ordinary differential equations
34D23 Global stability of solutions to ordinary differential equations
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