Geodesic
Application of generalized separation of variables to solving mixed problems with irregular boundary conditions
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 7, pp. 1335-1339

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One of the methods for solving mixed problems is the classical separation of variables (the Fourier method). If the boundary conditions of the mixed problem are irregular, this method, generally speaking, is not applicable. In the present paper, a generalized separation of variables and a way of application of this method to solving some mixed problems with irregular boundary conditions are proposed. Analytical representation of the solution to this irregular mixed problem is obtained. 
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     author = {E. A. Gasymov and A. O. Guseinova and U. N. Gasanova},
     title = {Application of generalized separation of variables to solving mixed problems with irregular boundary conditions},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {56},
     number = {7},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a8/}
}
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E. A. Gasymov; A. O. Guseinova; U. N. Gasanova. Application of generalized separation of variables to solving mixed problems with irregular boundary conditions. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 7, pp. 1335-1339. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a8/