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    STUDIA MATHEMATICA - Issue no. 3 / 2011  
         
  Article:   PERIODIC SOLUTIONS IN TOTALLY NONLINEAR DIFFERENCE EQUATIONS WITH FUNCTIONAL DELAY.

Authors:  .
 
       
         
  Abstract:  

We use the modification of Krasnoselskii’s fixed point theorem due to T. A. Burton ( [1] Theorem 3) to show that the totally nonlinear difference equation with functional delay

has periodic solutions. We invert this equation to construct a sum of a compact map and a large contraction which is suitable for applying Krasnoselskii-Burton theorem. Finally, an example is given to illustrate our result. Mathematics Subject Classification (2010): 39A10, 39A12.

Keywords: Fixed point, large contraction, periodic solutions, totally nonlinear, delay difference equations.

 
         
     
         
         
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