Abstract
We present the recent results obtained on the construction and the application of the Inversion-like Integral Equations (I.E) associated with linear differential or partial differential systems. In this purely algebraic method we construct a class of solutions and of potentials associated to linear differential systems without performing the analytical study of the associated scattering problem. In this approach the determination of the I.E. is always reduced to the resolution of a well defined set of non linear partial differential equation (n.Q,.p.d.e).
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