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	STUDIA MATHEMATICA - Issue no. 1 / 2005

	Article:	ASYMPTOTIC PROPERTIES OF THE DISCRETIZED PANTOGRAPH EQUATION. Authors: PETR KUNDRAT.


	Abstract: We are going to deal with the asymptotic properties of all solutions of the delay difference equation ∆xn = −axn + bxj(tn)−t0 h k, n = 0, 1, 2, . . . , where a > 0, b 6= 0 are reals. This equation represents the discretization of the corresponding delay differential equation. Our aim is to show the resemblance in the asymptotic bounds of solutions of the discrete and continuous equation and discuss some numerical problems connected with this investigation.




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