Vestnik of Samara University. Natural Science SeriesVestnik of Samara University. Natural Science Series2541-75252712-8954Samara National Research University477910.18287/2541-7525-2012-18-9-5-13ON ONE PROBLEM IN INFINITY STRIP FOR BIAXISYMMETRIC HELMHOLZ EQUATIONAbashkinA.A.morenov.sv@ssau.ruSamara State University of Architecture and Civil Engineering101220121895130806201708062017Copyright © 2012, Abashkin A.2012Boundary value problem with special conditions on line y = 0 in infinity strip 0lt;xlt;a for generalized 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 ц value and without weight for other. Existence of solution is proved for some conditions. Uniqueness of solutions is proved for other some conditions.Helmholz equation, problem about leap, Bessel function, Fourie — Bessel series, maximal principle.уравнение Гельмгольца, задача о скачке, функции Бесселя, ряд Фурье — Бесселя, принцип максимума