Geodesic
Gellerstedt Equation with the Perturbation of the Cauchy Condition
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 4, pp. 79-85

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In the characteristic triangle for a first kind degenerate hyperbolic equation is proved ill-posedness of the problem with integral perturbation of the Cauchy condition on the line of degeneracy.
Keywords: Gellerstedt, degenerate hyperbolic equation, integral perturbation of the Cauchy condition, nonlocal boundary condition, the hypergeometric function. 
@article{VNGU_2014_14_4_a7,
     author = {N. E. Tokmagambetov},
     title = {Gellerstedt {Equation} with the {Perturbation} of the {Cauchy} {Condition}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {79--85},
     publisher = {mathdoc},
     volume = {14},
     number = {4},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2014_14_4_a7/}
}
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N. E. Tokmagambetov. Gellerstedt Equation with the Perturbation of the Cauchy Condition. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 4, pp. 79-85. http://geodesic.mathdoc.fr/item/VNGU_2014_14_4_a7/