Balabushenko T. Properties of solutions of 2b-parabolic systems, determined in unbounded on time variable domains

The special conditions for 2b-parabolic systems are introduced and the examples of classes of systems, which satisfy such condidions, are reduced. The integral representations and estimations of solutions are established, and also a correct resolvability of the Cauchy problem and of a problem without the initial conditions are proved. The theorem of stability of solutions of the Cauchy problem and theorems of Liouville type are proved. The estimations of fundamental matrixes of solutions polynomial bunch of 2b-elliptic system, which generated by the 2b-parabolic system, are constructed and investigated. The correct resolvability and integral representation of solutions of boundary Fourier problems for some equations of the second order are established.