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Bifurcation problem about buckling of strip-plate in supersonic gas flow under compressed/extended boundary stresses is considered.The dependence on bifurcation parameters(Mach number,compression/extension coefficient)and small normal load,expressed through the roots of the characteristic equation for the linearization,allows to give the problem exact statement,to determine the parameters critical manifolds,to construct(first for aeroelasticity problems)Green functions for the linearizations and bifurcating solutions asymptotics by Lyapounov-Schmidt method.