Extension of higher-order infinitesimal bendings of a simply connected surface of positive curvature with boundary conditions

We study continuous and infinitesimal bendings of orderk (k-bendings) of a simply connected surface of positive curvature with boundary conditions. We study the question of the extension ofk-bendings satisfying some boundary condition to continuous bendings satisfying an analogous boundary condition.Translated from Ukrainskií Geometricheskií Sbornik, No. 30, 1987, pp. 41–49.