Some nonlocal problems for two-dimensional equations of motion of Oldroyd fluids

The following nonlocal problems for two-dimensional equations of motion for Oldroyd fluids (1) are studied: global classical solvability on the semiaxis $t\in\mathbb{R}^+$ initial boundary-value problem (1), (2); the principle of linearized stability and stability of steady solutions and time periodic solutions; existence theorem of time periodic solutions of equations (1) with time periodic external force $f$.