The book is devoted to an up-dated exploratory survey of results concerning elastic cusped
shells plates and beams and cusped prismatic shell-fluid interaction problems. It contains
some up to now non-published results as well. Mathematically the corresponding problems lead to
non-classical in general boundary value and initial-boundary value problems for governing
degenerate elliptic and hyperbolic systems in static and dynamical cases respectively. Its
uses two fundamentally different approaches of investigation: 1) to get results for
two-dimensional and one-dimensional problems from results of the corresponding
three-dimensional problems and 2) to investigate directly governing degenerate and singular
systems of 2D and 1D problems. In both the cases it is important to study relation of 2D and
1D problems to 3D problems.
