Geodesic
Solving boundary problems for third-order equations
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2008), pp. 147-151

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The work considers two boundary problems for a third-order equation with multiple characteristics in semi-infinite strip $U_{xxx} - U_{yy} = 0$. The uniqueness of solution is proved by method of energy integral. The solutions of the problems put are constructed by method of Fourier. 
@article{IZKAB_2008_2_a0,
     author = {Yu. P. Apakov},
     title = {Solving boundary problems for third-order equations},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {147--151},
     publisher = {mathdoc},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2008_2_a0/}
}
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Yu. P. Apakov. Solving boundary problems for third-order equations. News of the Kabardin-Balkar scientific center of RAS, no. 2 (2008), pp. 147-151. http://geodesic.mathdoc.fr/item/IZKAB_2008_2_a0/