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  Volume 3, Issue 1, Article 14
 
Lower and Upper Solutions Method for First Order Differential Inclusions with Nonlinear Boundary Conditions

    Authors: M. Benchohra, Sotiris K. Ntouyas,  
    Keywords: Initial value problem, Convex multivalued map, Differential inclusions, Nonlinear boundary conditions, Condensing map, Fixed point, Truncation map, Upper and lower solutions.  
    Date Received: 17/05/01  
    Date Accepted: 29/10/01  
    Subject Codes:

34A60

 
    Editors: Baburao G. Pachpatte,  
 
    Abstract:

In this paper a fixed point theorem for condensing maps combined with upper and lower solution are used to investigate the existence of solutions of first order differential inclusions with general nonlinear boundary conditions.

         
       
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