BOUNDARY-VALUE PROBLEM FOR A THIRD-ORDER HYPERBOLIC EQUATION THAT IS DEGENERATE INSIDE A DOMAIN AND CONTAINS THE ALLER OPERATOR IN THE PRINCIPAL PART

摘要

Boundary-value problems for a third-order hyperbolic equation that is degenerate inside a domain and contains the Aller operator in the principal part, are examined. The existence and uniqueness theorem for solutions of the problem is proved.