Theeradach KaewongY. LenburyP. NiamsupChiang Mai UniversityMahidol University2018-06-212018-06-212005-06-19International Journal of Mathematics and Mathematical Sciences. Vol.2005, No.7 (2005), 1007-1013016117122-s2.0-27344452896https://repository.li.mahidol.ac.th/handle/20.500.14594/16644We obtain necessary and sufficient conditions for the asymptotic stability of the linear delay difference equation xn+1 + p Σj=1N xn-k+(j-1)l = 0, where n = 0,1,2,..., p is a real number, and k, l, and N are positive integers such that k > (N - 1)l. Copyright © 2005 Hindawi Publishing Corporation.Mahidol UniversityMathematicsArticleSCOPUS10.1155/IJMMS.2005.1007