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    STUDIA MATHEMATICA - Issue no. 4 / 2016  
         
  Article:   ABSTRACT METHOD OF UPPER AND LOWER SOLUTIONS AND APPLICATION TO SINGULAR BOUNDARY VALUE PROBLEMS.

Authors:  RADU PRECUP.
 
       
         
  Abstract:   The method of upper and lower solutions is presented for the fi xed point problem associated to operators which are compositions of a linear operator and a nonlinear mapping. Spectral properties of the linear part together with growth and monotonicity properties of the nonlinear part are involved. An application to singular boundary value problems is included.

Mathematics Subject Classi fication (2010): 47J25, 47H07, 34B16, 34B18.

Keywords: Upper and lower solution, monotone iterative principle, fixed point, cone, positive solution, singular boundary value problem.
 
         
     
         
         
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