Dirichlet problem in the non-classical treatment for one pseudoparabolic   equation of fourth order
  In the paper the Dirichlet problem with non-classical conditions not requiring agreement conditions is considered for a fourth order pseudoparabolic equation with non-classical coefficients. The equivalence of these conditions with the classic boundary conditions is substantiated in the case if the solution of the stated problem is sought in S.L.Sobolev isotropic space. 
Ilgar G. Mamedov
math.DS