Geodesic
Solvability of a nonlocal problem with integral conditions for third-order Sobolev-type equations
Matematičeskie zametki SVFU, Tome 27 (2020) no. 4, pp. 30-42 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study solvability of a nonlocal problem with integral conditions for Sobolev-type differential equations of the third order. Using spectral decompositions, we prove existence and uniqueness theorems for solutions with all generalized S. L. Sobolev derivatives entering the equation.
Keywords: Sobolev-type differential equation, problem with integral conditions, regular solution, uniqueness.
Mots-clés : existence 
@article{SVFU_2020_27_4_a2,
     author = {A. I. Kozhanov and A. V. Dyuzheva},
     title = {Solvability of a nonlocal problem with integral conditions for third-order {Sobolev-type} equations},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {30--42},
     year = {2020},
     volume = {27},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2020_27_4_a2/}
}
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A. I. Kozhanov; A. V. Dyuzheva. Solvability of a nonlocal problem with integral conditions for third-order Sobolev-type equations. Matematičeskie zametki SVFU, Tome 27 (2020) no. 4, pp. 30-42. http://geodesic.mathdoc.fr/item/SVFU_2020_27_4_a2/