Geodesic
On solvability of some boundary value problems for polyharmonic equation with Hadamard--Marchaud boundary operator
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2014), pp. 15-29

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We investigate solvability conditions of some nonclassical boundary-value problems for the polyharmonic equation. In the capacity of boundary operators we consider fractional differential operators in the sense of Hadamard–Marchaud. Considered problems are generalize the known Dirichlet and Neumann boundary-value problems on boundary operators of fractional type.
Mots-clés : polyharmonic equation
Keywords: fractional differential operators, Hadamard–Marchaud operators, Dirichlet and Neumann boundary-value problems. 
@article{IVM_2014_7_a1,
     author = {A. E. Bekaeva and V. V. Karachik and B. Kh. Turmetov},
     title = {On solvability of some boundary value problems for polyharmonic equation with {Hadamard--Marchaud} boundary operator},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {15--29},
     publisher = {mathdoc},
     number = {7},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_7_a1/}
}
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A. E. Bekaeva; V. V. Karachik; B. Kh. Turmetov. On solvability of some boundary value problems for polyharmonic equation with Hadamard--Marchaud boundary operator. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2014), pp. 15-29. http://geodesic.mathdoc.fr/item/IVM_2014_7_a1/