Abstract
The linearized Ginzburg-Landau equation for the order parameter of superconductors with cylindrical shape and of superconductors with cylindrical cavity is solved to obtain a numerical relation between the magnetic field H and the eigenvalue E when a magnetic field is applied parallel to the cylindrical axis. Using the H-E relation, we calculate the temperature dependence of the critical field Hc3 for the dirty type II superconductors.