On the behavior of the solutions to autonomous linear difference equations with continuous variable

Philos, Ch. G   ; Purnaras, I. K.

Archivum mathematicum, Tome 43 (2007) no. 2, pp. 133-155

Abstract (VO)

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.

Détail

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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