Geodesic
On the problem with M.~Saigo operators on characteristics for a~degenerative hyperbolic equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 69-77

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A non-local problem in characteristic domain for a degenerative hyperbolic type equation boundary conditions of which contain generalized operators of fractional integrodifferentiation on characteristics is studied. Unique solvability of the problem is then proved.
Keywords: Gauss function, fractional integrals and derivatives, boundary-value problem, integral equation
Mots-clés : Cauchy kernel. 
@article{VSGU_2010_6_a7,
     author = {S. A. Sayganova},
     title = {On the problem with {M.~Saigo} operators on characteristics for a~degenerative hyperbolic equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {69--77},
     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2010_6_a7/}
}
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S. A. Sayganova. On the problem with M.~Saigo operators on characteristics for a~degenerative hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 69-77. http://geodesic.mathdoc.fr/item/VSGU_2010_6_a7/