We study the homogeneous Schwarz problem for Douglis analytic functions. We consider two-dimensional matrices J with a multiple eigenvalue and a eigenvector, which is not proportional to a real vector.… Click to show full abstract
We study the homogeneous Schwarz problem for Douglis analytic functions. We consider two-dimensional matrices J with a multiple eigenvalue and a eigenvector, which is not proportional to a real vector. We obtain a sufficient condition for the matrix J under which there exist two linearly independent solutions of the problem defined in a certain domain D. We present an example.
               
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