New boundary value problems for fourth-order quasi-hyperbolic equations

摘要

In this paper, we study the correctness in the spaces ofS.L. Sobolev of new boundary value problems for quasi-hyperbolic differentialequationsutttt + Au = f(x; t)(A is an elliptic operator acting on spatial variables). For the proposedtasks theorems on the existence and uniqueness of solutions are proved,and examples of non-uniqueness are given.