Bulletin KRASEC. Phys. & Math. Sci. 2016. V. 13. no. 2. pp. 22-24. ISSN 2313-0156

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DOI: 10.18454/2313-0156-2016-13-2-22-24

MSC 65N80

ON THE UNIQUENESS OF SOLUTION OF ABOUNDARY VALUE PROBLEM FOR A MIXED EQUATION WITH HYPERBOLIC DEGENERATION OF ORDER

Z.V. Kudaeva

Institute of Applied Mathematics and Automation 360000, Kabaerdino-Balkariya, Nalchik, Shortanova st., 89 a, Russia
E-mail: Kudaeva_zalina@mail.ru

The paper proves the uniqueness of solution of a boundary value problem for a mixed elliptic-hyperbolic equation of the second order.

Key words: mixed equation, extremum principle.

References

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    3. Nakhushev A. M. Ob odnoy kraevoy zadache dlya uravneniya smeshannogo parabolo-giperbolicheskogo tipa [On one boundary value problem for mixed parabolic-hyperbolic equation]. Doklady Academii Nauk SSSR – Doklady Mathematics.1968. vol. 183. no. 2. pp. 261–264.
    4. Nakhushev A. M. Ob odnom klasse lineynykh kraevykh zadach dlya giperbolicheskogo i smeshannogo tipov uravneniy vtorogo poryadka [On one class of linear boundary value problems for hyperbolic and mixed equations of the second order]. Nal’chik. El’brus. 1992. 155 p.
    5. Pul’kin S. P. Izbrannye trudy – Selected works. Samara. Univers Grupp Pub. 2007. 203 p.
    6. Smirnov M. M. Uravneniya smeshannogo tipa [Mixed equations]. Moscow. Nauka. 1970. 296 p.

For citation: Kudaeva Z.V. On the uniqueness of solution of a boundary value problem for a mixed equation with hyperbolic degeneration of order. Bulletin KRASEC. Physical and Mathematical Sciences 2016, vol. 13, no 2, 22-24. DOI: 10.18454/2313-0156-2016-13-2-22-24.

Original article submitted: 20.05.2016

Kud

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

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