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Using the direct variational method together with the monotonicity approach we consider the existence of non-spurious solutions to the following Dirichlet problem −x¨t=ft,xt, x0=x1=0, where f:0,1×R→R is a jointly continuous and not necessarily convex function. A new approach towards deriving the discrete family of approximating problems is proposed.

Correct modelling of human muscle is very difficult issue. The digital model can be used for understandig, how the muscle works, what kinds of processes take places during their work. It can be also used for check correctness of animation synteze. Researchers have developed many methods for creating shoulder models. They differ not only in the approach to creating models, but also in applications. In this article, the authors reviewed the methods of modelling muscles and applied these models for possible application in biomechanics.