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  Volume 2, Issue 2, Article 24
 
Necessary and Sufficient Condition for Existence and Uniqueness of the Solution of Cauchy Problem for Holomorphic Fuchsian Operators

    Authors: Mekki Terbeche,  
    Keywords: 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  
    Date Received: 01/02/01  
    Date Accepted: 05/03/01  
    Subject Codes:

35A10,58A99

 
    Editors: Ravi P. Agarwal,  
 
    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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