Geodesic
One-valued solvability of a~nonlocal problem for the axisymmetric Helmholtz equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 5-14

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A nonlocal boundary value problem for degenerate elliptic equation is considered. Boundary value of this problem considerably depend on low derivative coefficient changes. Existence and uniqueness of a solution are proved.
Keywords: non-local problem, Bessel equation, Riesz basis, uniform convergence of series. 
@article{VSGU_2011_2_a0,
     author = {A. A. Abashkin},
     title = {One-valued solvability of a~nonlocal problem for the axisymmetric {Helmholtz} equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {5--14},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_2_a0/}
}
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A. A. Abashkin. One-valued solvability of a~nonlocal problem for the axisymmetric Helmholtz equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2011), pp. 5-14. http://geodesic.mathdoc.fr/item/VSGU_2011_2_a0/