Abstract: An analysis of the creep effects on the buckling of concrete shallow shells is presented in this paper.Based on the nonlinear theory of thin elastic shells, it is found that for those of the elliptical paraboloidal type, the upper critical load of the load-deflection curve will decrease while the lover limit will increase with time.As to the problem of local buckling of the shell, the critical load is dependent only upon the modulus of elasticity at the instant it occurs.

Key words: pseudo-parabolic equation, nonlinear evolution equation, inverse problem