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This paper derives the asymptotic solutions to a class of inhomogeneous integral equations which reduce to algebraic equations when a parameter eta goes to zero (the kernel becoming proportional to a Dirac delta-function). This class includes the integral equations obtained from the system of Vlasov and Poisson equations for the Fourier transform in space and the Laplace transform in time of the electric potential, when the equilibrium magnetic field is uniform and the equilibrium plasma density depends on (eta)x, with the coordinate z being the direction of the magnetic field. In this case the inhomogeneous term is given by the initial conditions and possibly by sources, and the Laplace transform variable omega is the eigenvalue parameter.

Additional information

Authors: CROCI R, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE)
Bibliographic Reference: Report: IPP 6/292 EN (1990) 18 pp.
Availability: Available from Max-Planck-Institut für Plasmaphysik, 8046 Garching bei München (DE)
Record Number: 199011039 / Last updated on: 1994-12-01
Original language: en
Available languages: en
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