Vestnik of Samara University. Natural Science SeriesVestnik of Samara University. Natural Science Series2541-75252712-8954Samara National Research University484810.18287/2541-7525-2011-17-2-5-14ONE-VALUED SOLVABILITY OF A NONLOCAL PROBLEM FOR THE AXISYMMETRIC HELMHOLTZ EQUATIONAbashkinA.A.morenov.sv@ssau.ruSamara State University of Architecture and Civil Engineering160620111725141406201714062017Copyright © 2011, Abashkin A.2011<p>A nonlocal boundary value problem for degenerate elliptic equation is con<br />sidered. Boundary value of this problem considerably depend on low derivative<br />coefficient changes. Existence and uniqueness of a solution are proved.</p>нелокальная задачауравнение Бесселябазис Риссаравномерная сходимость рядаnon-local problem, Bessel equation, Riesz basis, uniform convergence of series