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STABILITY IN FUNCTIONAL DIFFERENCE EQUATIONS WITH APPLICATIONS TO INFINITE DELAY VOLTERRA DIFFERENCE EQUATIONS

  • Raffoul, Youssef N. (Department of Mathematics University of Dayton)
  • Received : 2018.01.17
  • Accepted : 2018.08.03
  • Published : 2018.11.30

Abstract

We consider a functional difference equation and use fixed point theory to obtain necessary and sufficient conditions for the asymptotic stability of its zero solution. At the end of the paper we apply our results to nonlinear Volterra infinite delay difference equations.

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