Asymptotic behavior of a linear difference equation with continuous time |
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| Authors: | Rigoberto Medina Mihály Pituk |
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| Institution: | (1) Departamento de Ciencias Exactas Casilla, Universidad de Los Lagos, 933 Osorno, Chile;(2) Department of Mathematics and Computing, University of Pannonia, P.O. Box 158, 8201 Veszprém, Hungary |
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| Abstract: | We consider a class of linear homogeneous difference equations with constant coefficients and commensurate delays. We prove
an asymptotic formula for the solutions as t → ∞ under the assumption of the existence of a simple “dominant” real characteristic value.
Research supported by FONDECYT Grant, Chile, No. 1.070.980. |
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| Keywords: | difference equation with continuous time commensurate delays asymptotic behavior z-transform |
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