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Boundary conditions for unconventional superconducting order parameter areobtained on the basis of a microscopic theory. The upper critical field in asuperconducting film is examined for unconventional superconductors withtwo-component order parameter and is compared with the case of accidentaldegeneracy. It is shown, that for both cases temperature dependences of theupper critical field in a superconducting film may depend substantially on thequality of boundaries, and under certain conditions have a kink due to theinfluence of film boundaries. The location of a kink point appears to bedependent on a film thickness. If for a massive sample there is another reasonfor the existance of a kink, the interplay of the reasons may lead to aspecific behaviour of a kink point location as a function of a temperature or afilm thickness. A new test is suggested permitting to distinguish between$E_{1}$ and $E_{2}$ types of pairing in a hexagonal superconductor near $T_c$.Comment: 29 pages, revtex, figures available upon reques

Upper critical field for an unconventional superconducting film: A kink due to the boundary conditions