Geodesic
The problem with shift for the Bitsadze--Lykov equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2012), pp. 26-36

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The Bitsadze-Lykov equation is considered. The problem with shift containing the Kober–Erdélyi and M. Saigo operators in boundary condition is set for this equation. The questions of uniqueness (ununiqueness) of this problem solution with different functions and constants in boundary condition are investigated. The number of theorems is formulated and proved.
Keywords: Bitsadze–Lykov equation, boundary value problem, Kober–Erdélyi operator, M. Saigo operator, Riemann–Liouville operator, existence and uniqueness of the problem solution. 
@article{VSGTU_2012_4_a2,
     author = {E. Yu. Arlanova},
     title = {The problem with shift for the {Bitsadze--Lykov} equation},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {26--36},
     publisher = {mathdoc},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_4_a2/}
}
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E. Yu. Arlanova. The problem with shift for the Bitsadze--Lykov equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2012), pp. 26-36. http://geodesic.mathdoc.fr/item/VSGTU_2012_4_a2/