Geodesic
A nonlocal problem for the Bitsadze--Lykov equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2010), pp. 28-35

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We study a nonlocal boundary value problem for a degenerate hyperbolic equation. We prove that this problem is uniquely solvable if integral Volterra equations of the second kind are solvable with various values of parameters and a generalized fractional integro-differential operator with a hypergeometric Gaussian function in the kernel.
Keywords: boundary value problem, fractional integro-differential operator, integral Volterra equation. 
@article{IVM_2010_3_a4,
     author = {O. A. Repin and S. K. Kumykova},
     title = {A nonlocal problem for the {Bitsadze--Lykov} equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {28--35},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_3_a4/}
}
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O. A. Repin; S. K. Kumykova. A nonlocal problem for the Bitsadze--Lykov equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2010), pp. 28-35. http://geodesic.mathdoc.fr/item/IVM_2010_3_a4/