Geodesic
On the behavior of the solutions to autonomous linear difference equations with continuous variable
Archivum mathematicum, Tome 43 (2007) no. 2, pp. 133-155.

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Autonomous linear neutral delay and, especially, (non-neutral) delay difference equations with continuous variable are considered, and some new results on the behavior of the solutions are established. The results are obtained by the use of appropriate positive roots of the corresponding characteristic equation.
Classification : 39A10, 39A11
Keywords: difference equation with continuous variable; delay difference equation; neutral delay difference equation; behavior of solutions; characteristic equation 
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     title = {On the behavior of the solutions to autonomous linear difference equations with continuous variable},
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Philos, Ch. G; Purnaras, I. K. On the behavior of the solutions to autonomous linear difference equations with continuous variable. Archivum mathematicum, Tome 43 (2007) no. 2, pp. 133-155. http://geodesic.mathdoc.fr/item/ARM_2007__43_2_a4/