PARAMETRIC OSCILLATIONS OF A SINGULARLY PERTURBED TELEGRAPH EQUATION WITH A PENDULUM NONLINEARITY

The solution of the problem in the title is reduced to an analysis of the question of the number of and stability of equilibrium states of t he quasi-normal form of the boundary-value problem:under consideration . A mechanism is revealed for the origin of its so-called simple equil ibrium states. It is shown that as the coefficient of elasticity decre ases, the number of such states increases, and that those of them with the most complex spatial structure are stable.