# zbMATH — the first resource for mathematics

Global stability of solutions of certain third-order nonlinear differential equations. (English) Zbl 1065.34047
Summary: By employing Lyapunov’s second method, we obtain sufficient conditions which ensure that the zero solution of the equation $\dddot x+\psi(x,\dot x,\ddot x)\ddot x+f(x,\dot x)=0$ is globally asymptotically stable. Our result improves and includes some well-known results established in the relevant literature.

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