Geodesic
On a nonclassical boundary value problem for the Helmholtz equation
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 3, pp. 14-22

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A boundary value problem for the Helmholtz equation in the unit ball, having high-order normal derivatives in the boundary conditions is considered. The theorem of necessary and sufficient solvability conditions of this problem is proved.
Keywords: Helmholtz equation; generalized Neumann problem; eigenvalues; normal derivatives. 
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     author = {V. V. Karachik},
     title = {On a nonclassical boundary value problem for the {Helmholtz} equation},
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     volume = {6},
     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/VYURM_2014_6_3_a1/}
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V. V. Karachik. On a nonclassical boundary value problem for the Helmholtz equation. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 6 (2014) no. 3, pp. 14-22. http://geodesic.mathdoc.fr/item/VYURM_2014_6_3_a1/