The behavior of the solutions of periodic linear neutral delay difference equations

Authors:
Ch. G. Philos;I. K. Purnaras
Affiliations:
Department of Mathematics, University of Ioannina, P.O. Box 1186, 451 10 Ioannina, Greece;Department of Mathematics, University of Ioannina, P.O. Box 1186, 451 10 Ioannina, Greece
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

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Abstract

Some new asymptotic, nonoscillation and stability criteria for linear neutral delay difference equations with periodic coefficients and constant delays are given. The results are obtained via a positive root (with suitable properties) of an associated equation which is, in a sense, the corresponding characteristic equation.