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Dynamic Stability of Heated Geometrically Irregular Shallow Shell of Constant Torsion in Supersonic Gas Flow

Heated until invariable temperature, geometrically irregular shallow shell of constant torsion blown by supersonic gas flow from one side of the main surfaces was considered. As the basis, a continual model of thermoelastic system “shell-ribs” was taken. Singular differential equations of dynamical thermostability of geometrically irregular shallow shell had summands containing “stretch-compression” and “shift’’ of the ribs. Tangential forces caused by heating of the shell and transversal strain were recorded by “piston theory” in a standard way.

SYSTEMS OF DIFFERENTIAL EQUATIONS ON THE LINE WITH REGULAR SINGULARITIES

Non-selfadjoint second order differential systems on the line having a non-integrable regular singularity are studied. We construct special fundamental systems of solutions with prescribed analytic and asymptotic properties. Asymptotics of the corresponding Stockes multipliers is established.