%0 Journal Article
%T Variational approach for weak quasiperiodic solutions of quasiperiodically excited Lagrangian systems on Riemannian manifolds
%A Igor Parasyuk
%A Anna Rustamova
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X We apply a variational method to prove the existence of weak Besicovitch quasiperiodic solutions for natural Lagrangian system on Riemannian manifold with time-quasiperiodic force function. In contrast to previous papers, our approach does not require non-positiveness condition for sectional Riemannian curvature. As an application of obtained results, we find conditions for the existence of weak quasiperiodic solutions in spherical pendulum system under quasiperiodic forcing.
%K Weak quasi periodic solution
%K natural mechanical system
%K Riemannian manifold
%K variational method
%U http://ejde.math.txstate.edu/Volumes/2012/66/abstr.html