Geodesic
Boundary value problems for a class of nonlocal integro-differential equations with degeneration
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2017), pp. 19-24

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In this paper, we study the solvability of boundary value problems for integro-differential equation. One of the features of the equations under consideration is the possibility of degeneration when some of coefficients vanish. The other feature is that the equations under consideration are nonlocal. This motivates modifications in statement of problems. Nonlocal nature of equation in particular leads to nonlocal conditions. Sufficient conditions providing well-posedness of four problems are obtained.
Keywords: integro-differential equations, boundary problems, degeneration, existence and uniqueness of solutions.
Mots-clés : nonlocal conditions 
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     author = {A. I. Kozhanov},
     title = {Boundary value problems for a class of nonlocal integro-differential equations with degeneration},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {19--24},
     publisher = {mathdoc},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2017_4_a1/}
}
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A. I. Kozhanov. Boundary value problems for a class of nonlocal integro-differential equations with degeneration. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2017), pp. 19-24. http://geodesic.mathdoc.fr/item/VSGU_2017_4_a1/