Geodesic
A nonlocal problem for Sobolev type equations
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 54-62

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Sufficient conditions for the solvability of nonlocal problems for the nondegenerate operator differential equation and for the Sobolev type equation with a relatively p-sectorial operator are obtained. Abstract results are applied to research of a nonlocal problem for the Barenblatt–Zheltov–Kochina equation. 
@article{VCHGU_2008_10_a7,
     author = {M. A. Sagadeeva},
     title = {A nonlocal problem for {Sobolev} type equations},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {54--62},
     publisher = {mathdoc},
     number = {10},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a7/}
}
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M. A. Sagadeeva. A nonlocal problem for Sobolev type equations. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 54-62. http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a7/