Geodesic
On the representation of solutions
News of the Kabardin-Balkar scientific center of RAS, no. 4 (2010), pp. 64-69

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The unique solubility of the boundary problem for equation of the third order with the multiple characteristics in square area is proved in this article. Uniqueness of the solution of the problem is proved by integral energy method. The solution is received in the form of Fourier series on eigenfunctions of the problem.
Keywords: the equation of the third order with multiple characteristics, heterogeneous equation, uniqueness of the solution, integral energy method, performance equation, Green’s function, Fourier series. 
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     author = {Zh. A. Balkizov and A. H. Kodzokov},
     title = {On the representation of solutions},
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     pages = {64--69},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2010_4_a0/}
}
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Zh. A. Balkizov; A. H. Kodzokov. On the representation of solutions. News of the Kabardin-Balkar scientific center of RAS, no. 4 (2010), pp. 64-69. http://geodesic.mathdoc.fr/item/IZKAB_2010_4_a0/