Integral representation for solutions of the pseudoparabolic equation in matrix form

Abstract

In this paper, an integral representation is given for special bounded solutions of pseudoparabolic equations of the form Lw:=partial derivative/partial derivative t (w((phi) over bar) + aw + b (w) over bar) + cw + d (w) over bar by means of a generating pair of the corresponding class of the generalized Q-holomorphic functions in L-p,L-2 (C) for p > 2, where a, b, c, d are functions of z alone.