Geodesic
Nonlocal problem with Saigo operators for mixed type equation of the third order
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2019), pp. 63-68

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For a third order equation with multiple characteristics we investigate a boundary-value problem with Saigo operators. We prove the unique solvability of the problem for various values of the parameters of generalized fractional integro-differentiation operators.
Keywords: boundary-value problem, the hypergeometric function of Gauss, Saigo operator, Fredholm integral equation. 
@article{IVM_2019_1_a5,
     author = {O. A. Repin},
     title = {Nonlocal problem with {Saigo} operators for mixed type equation of the third order},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {63--68},
     publisher = {mathdoc},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_1_a5/}
}
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O. A. Repin. Nonlocal problem with Saigo operators for mixed type equation of the third order. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2019), pp. 63-68. http://geodesic.mathdoc.fr/item/IVM_2019_1_a5/