ABSTRACT
A0=1, An=2 (n=1, 2, . . .).
Here, the Jn(ξ) are Bessel functions and the µnm are positive roots of the transcendental equation
µJ ′n(µR) + kJn(µR) = 0.
◮ Domain: R1 ≤ r ≤ R2, 0 ≤ ϕ ≤ 2π. First boundary value problem. An annular domain is considered. The following conditions are prescribed:
w = f0(r, ϕ) at t = 0 (initial condition), ∂tw = f1(r, ϕ) at t = 0 (initial condition), w = g1(ϕ, t) at r = R1 (boundary condition), w = g2(ϕ, t) at r = R2 (boundary condition).