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  Volume 5, Issue 4, Article 90
 
Rearrangements of the Coefficients of Ordinary Differential Equations

    Authors: Samir Karaa,  
    Keywords: Rearrangements, Nonconvex set, Extremal couples.  
    Date Received: 12/03/04  
    Date Accepted: 04/08/04  
    Subject Codes:

26D15

 
    Editors: Don B. Hinton,  
 
    Abstract:

We establish extremal values of a solution y of a second-order initial value problem as the coefficients vary in a nonconvex set. These results extend earlier work by M. Essen in particular by allowing a coefficient in the second derivative expression.

         
       
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