Issue 2, 2001
NECESSARY AND SUFFICIENT CONDITION FOR EXISTENCE AND UNIQUENESS OF THE SOLUTION OF CAUCHY PROBLEM FOR HOLOMORPHIC FUCHSIAN OPERATORS
DEPARTMENT OF MATHEMATICAL SCIENCES
FLORIDA INSTITUTE OF TECHNOLOGY
MELBOURNE, FL 32901, USA.
Received ___; accepted 5 March, 2001.
Communicated by: R.P. Agarwal
In this paper a Cauchy problem for holomorphic
differential operators of Fuchsian type is investigated.
Using Ovcyannikov techniques and the method of majorants, a
necessary and sufficient condition for existence and
uniqueness of the solution of the problem under
consideration is shown.
polynomial, Fuchsian differential
principal weight, holomorphic differentiable
holomorphic hypersurface, method of
majorants, method of
successive approximations, principal
2000 Mathematics Subject
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