×

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
PDFBibTeX XMLCite
Full Text: DOI EuDML