Vibrations of a three-layered flat beam in impact

International Applied Mechanics -     

On the connection between collective and spin degrees of freedom in the Sp(2, R) basis: The lightest p-shell nuclei

The interaction of collective and spin degrees of freedom in the lightest p-shell nuclei with nucleon number A = 5, 6, 7 and 8 is studied. It is shown that consideration of this interaction allows one to reproduce correctly the values of the spin-orbit splitting and the experimental sequence of energy levels in these nuclei.     

On Fučik Spectra and Periodic Solutions

In this paper, we continue extending the theory of boundary-value problems to ordinary differential equations and inclusions with discontinuous right-hand side. To this end, we construct a new version of the method of shifts along trajectories. We compare the results obtained by the new approach and those obtained by the method of Fuik spectra.     

Standard Envelopes of Commutative Triple Systems

Under certain constraints on the characteristic of a field , the commutative standard enveloping q-algebra >B of a commutative triple system A over is defined. It is proved that(1) if the algebra B is simple, then the system A is simple;(2) if the system A is simple, then B either is simple or decomposes into the direct sum of two isomorphic simple subalgebras (as of ideals).