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math.DS2018
On Periodic Solutions to Lagrangian System With Singularities
Oleg Zubelevich
A Lagrangian system with singularities is considered. The configuration space is a non-compact manifold that depends on time. A set of periodic solutions has been found.
math.DS2016
On Periodic Solutions to Some Lagrangian System With Two Degrees of Freedom
Oleg Zubelevich
A Lagrangian system with two degrees of freedom is considered. The configuration space of the system is a cylinder. A large class of periodic solutions has been found. The solution…
math.DS2015★ 2 cited
Bounded Solutions to the System of 2-nd Order ODE and the Whitney pendulum
Oleg Zubelevich
We propose the existence theorem for bounded solutions to the system of 2-nd order ODE. Dynamical applications have been considered.