Computational Methods and Function Theory 7 (2007), No. 1, 55--76
Copyright Heldermann Verlag 2007
Peter L. Polyakov
polyakov@uwyo.edu , Department of Mathematics, University of Wyoming, Laramie, WY 82071, U.S.A.
We study solvability of the generalized Possio integral equation which is a tool in the analysis of a boundary value problem in 2D subsonic aeroelasticity with the Kutta-Joukowski condition --- ``zero pressure discontinuity'' --- ψ(x,0,t)=0 on the complement of a finite interval in the entire real line R. The corresponding problem with boundary condition on finite intervals adjacent to the ``chord'' was considered in [16].
Keywords: Reduced wave equation, finite Hilbert transform, Fredholm determinant.
MSC 2000: 45B05, 45E05, 30D99.
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