Bulletin KRASEC. Phys. & Math. Sci, 2015, V. 11, №. 2, pp. 11-14. ISSN 2313-0156

Back to contents

DOI: 10.18454/2313-0156-2015-11-2-11-14

MSC 35K57

ON THE UNIQUENESS OF TRICOMI PROBLEM ANALOGUE FOR MIXED EQUATION WITH TWO DEGENERATED PARALLEL LINES

Z.V. Kudaeva

Institute of Applied Mathematics and Automation, 360000, Republic of Kabardino-Balkariya, Nalchik, st. Shortanova, 89a

E-mail: kudaeva zalina@mail.ru.

The paper proves the uniqness of the solution of Tricomi problem analogue for a mixed equation in the domain containing two parallel lines of parabolic degeneration.

Key words: extremum principle, Tricomi problem analogue.

 

References

  1. Nakhushev А.М. Kraevaya zadacha dlya uravneniya smeshannogo tipa s dvumya liniyami vyrozhdeniya [Boundary value problem for mixed equation with two lines of degeneracy]./ Doklady Akademii Nauk of the USSR, 1966, V.170, No. 1, pp. 38–40.
    2. Nakhushev А.М. Ob odnoi zadache smeshannogo tipa dlya uravneniya y(y-1)uxx +uyy [On one mixed problem for the equation y(y-1)uxx +uyy] // Doklady Akademii Nauk of the USSR, 1966. V.166, No. 3. pp. 536–539.
    3. Bitsadze А.V. Uravneniya smeshannogo tipa [Mixed equations]. Moscow, AN SSR, 1959, 164 p.
    4. Bitsadze А.V. K probleme uravnenii smeshannogo tipa [Problem of mixed equations]./ Trudy Mat. inta AN SSSR im. V.A. Steklova–Proceedings of the Steclov Institute of Mathematics, Moscow, 1953. V. 41, pp. 1-58.

For citation: Kudaeva Z.V. On the uniqueness of Tricomi problem analogue for mixed equation with two degenerated parallel lines. Bulletin KRASEC. Physical and Mathematical Sciences 2015, vol. 11, issue 2, 11-14. DOI: 10.18454/2313-0156-2015-11-2-11-14.

Original article submitted: 30.09.2015

Kud

  Kudaeva Zalina Valeryevna – Ph.D. (Phys. & Math.), Head of Dep. Equations of mixed type, Institute of Applied Mathematics and Automation, Kabardino-Balkaria, Nalchik.

Download article Kudaeva Z.V.