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AN ASYMPTOTIC RESULT FOR SOME DELAY DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLECH. G. PHILOS AND I. K. PURNARAS Received 14 October 2003We consider a nonhomogeneous linear delay difference equation with continuous variable and establish an asymptotic result for the solutions. Our result is obtained by the use of a positive root with an appropriate property of the so-called characteristic equation of the corresponding homogeneous linear (autonomous) delay difference equation. More precisely, we show that, for any solution, the limit of a specific integral transformation of it, which depends on a suitable positive root of the characteristic equation, exists as a real...
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AN ASYMPTOTIC RESULT FOR SOME DELAY DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLE CH. G. PHILOS AND
