On solvability of the initial-boundary value problems with integral boundary condition for some nonclassical differential equations
The authors study the solvability of the boundary value problems for the equation $(-1){p+1}D_t{2p}u-Au=f(x, t)$ (A is an elliptic operator acting on the spatial variables, while $p\geq 1$ is an integer) with integral type condition on the lateral area. The existence and uniqueness theorems are proved.