Geodesic
On one problem in infinity strip for biaxisymmetric Helmholz equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 5-13

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Boundary value problem with special conditions on line $y=0$ in infinity strip 0generalized biaxisymmetric Helmholz equation is set. Conditions of this problem set difference of some one-sided limits of known functions. Unknown function is zero in the right boundary and in infinity. Unknown functions with weight for one parameter $\mu$ value and without weight for other. Existence of solution is proved for some conditions. Uniqueness of solutions is proved for other some conditions.
Keywords: Helmholz equation, problem about leap, Bessel function, Fourie – Bessel series
Mots-clés : maximal principle. 
@article{VSGU_2012_9_a0,
     author = {A. A. Abashkin},
     title = {On one problem in infinity strip for biaxisymmetric {Helmholz} equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {5--13},
     publisher = {mathdoc},
     number = {9},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2012_9_a0/}
}
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A. A. Abashkin. On one problem in infinity strip for biaxisymmetric Helmholz equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 5-13. http://geodesic.mathdoc.fr/item/VSGU_2012_9_a0/