PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.), Vol. 64(78), pp. 69--84, 1998

PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 64(78), pp. 69--84 (1998)

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O SUSHCHSTVOVANII KLASSICHESKOGO RESHENIYA SMESHANNOI ZADACHI DLYA ODNOMERNOGO GIPERBOLICHESKOGO URAVNENIYA VTOROGO PORYADKA (II)

Nebo\ji sha L. Lazhetich

Matemati\v cki fakultet, Beograd, Yugoslavia

Abstract: 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.

Classification (MSC2000): 35A05

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