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JOURNALS // News of the Kabardino-Balkarian Scientific Center of the Russian Academy of Sciences // Archive

News of the Kabardin-Balkar scientific center of RAS, 2011 Issue 5, Pages 27–31 (Mi izkab643)

MATHEMATICS. MATHEMATIC MODELING

About one nonlocal problem for equation in partial derivatives of fourth order

A. M. Tokmakov

Kabardin-Balkar State University named after H.M. Berbekov, 360004, Nalchik, 173, Chernyshevsky street

Abstract: The article deals with nonlocal task for equation in special derivative of the fourth order. Using the method of Riemann for pseudoparabolic equation of high order the task comes to integral equation of Volter's third origin. It proves in what meanings parameter $\lambda$ in the task has its only regular decision.

Keywords: nonlocal task, the function of Riemann, the field of regulatory, characteristic problem of Goursat.

UDC: 517.912

Received: 15.04.2011



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