Torhan H. The problems for evolutional nonclassical equations in unbounded domains

The thesis deals with the problems for the nonlinear evolutional equations of the fourth order with respect to spatial variables and the first or second orders with respect to the time in unbounded domains. For the proper equations the terms of the existence of local and nonexistence of global solutions of the initial-boundary value problems are established, the one-valued solvability of the problem without initial conditions and initial-boundary value problems in unbounded domains for the time are investigated, the terms of the one-valued solvability of the initial-boundary value problems in unbounded domains with respect to spatial variables are obtained.