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Volume 2, Issue 2, Article 24 |
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Necessary and Sufficient Condition for Existence and Uniqueness of the Solution of Cauchy Problem for Holomorphic Fuchsian Operators
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Authors: |
Mekki Terbeche, |
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Keywords:
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Banach algebra, Cauchy problem, Fuchsian characteristic polynomial, Fuchsian differential operator, Fuchsian principal weight, holomorphic differentiable manifold, holomorphic hypersurface, method of majorants, method of successive approximations, principal symbol, reduced Fuchsian weight |
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Date Received:
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01/02/01 |
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Date Accepted:
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05/03/01 |
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Subject Codes: |
35A10,58A99
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Editors: |
Ravi P. Agarwal, |
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Abstract: |
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.
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