# Hatvani László honlapja

### Publikációs lista

Vissza.

 Cím: On the motion of a material point on a moving surface. Szerzõ: Hatvani, L.; Terj\'eki, J. Forrás: Meccanica 20, 3-5 (1985). Nyelv: English Absztrakt: The authors study the following problem: a material point is constrained to move on the surface $z-\lambda(t)(x\sp 2+y\sp 2)$ in a constant vertical field of gravity, with the friction force $-\alpha(\dot x,\dot y,\dot z)=(-\alpha \dot x,-\alpha \dot y,-\alpha \dot z)$, where $\lambda \in C\sp 2({\bbfR}\sb+,{\bbfR}\sb+)$ is decreasing and convex, $\alpha =const>0$. Sufficient conditions on $\lambda$ and ${\ddot \lambda}$ are given for the stability and instability of equilibrium $x=y=z=0$.} \RV{Ju.Je.Gliklich Letöltés: | Zentralblatt