| Abstract: |
| The existence of solutions in a given set of an impulsive Dirichlet boundary value problem is
investigated for second order differential inclusions. Both the possible cases will be discussed: problems with an upper semicontinuous r.h.s. and with an upper-Carath\`eodory r.h.s. We use a combination of a fixed point index technique with a bound sets approach and a Scorza-Dragoni type result. Since the related bounding (Liapunov-like) functions are strictly localized on the boundary of a parameter set of candidate solutions, some trajectories are allowed to escape from these sets. The talk includes an application to the forced pendulum equation with viscous damping term and dry friction coefficient. |
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