V nastoyashchei rabote dokazana edinstvenost' klassicheskogo resheniya smeshannoi zadachi dlya odnomernogo giperbolicheskogo uravneniya s obshchimi samosopryazhennymi kraevymi usloviyami, sushchestvovanie kotorogo bylo ustanovleno v rabote [7]. Polucheny apriornye ocenki, obespechivayushchie ustoichiyvost' resheniya po nachal'nymi usloviyami i po pravoi chasti, a takzhe i rasshirenie samoi teoremy o sushchestvovanii klassicheskogo resheniya.