Geodesic
On the solvability of nonlocal problem for a~hyperbolic equation of the second kind
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2016), pp. 51-58

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In the characteristic triangle, for a hyperbolic equation of the second kind we study a nonlocal problem when boundary condition contains a linear combination of operators of fractional Riemann–Liouville integro-differentition. We establish intervals of change of orders of operators of fractional integro-differentiation associated with the parameters of the equation for which the problem is either uniquely solvable or has more than one solution.
Keywords: operators of fractional integro-differentiation, Volterra integral equation of the second kind, method of successive approximations. 
@article{IVM_2016_9_a4,
     author = {O. A. Repin and S. K. Kumykova},
     title = {On the solvability of nonlocal problem for a~hyperbolic equation of the second kind},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {51--58},
     publisher = {mathdoc},
     number = {9},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_9_a4/}
}
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O. A. Repin; S. K. Kumykova. On the solvability of nonlocal problem for a~hyperbolic equation of the second kind. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2016), pp. 51-58. http://geodesic.mathdoc.fr/item/IVM_2016_9_a4/