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Oscillations of the system of linear nonautonomous difference equations
Authors:Ö Öcalan  Ö Akin
Institution:a Department of Mathematics, Ankara University, 06100 Tando?an, Ankara, Turkey
b Department of Mathematics, Gazi University, 06500 Teknikokullar, Ankara, Turkey
Abstract:We consider the linear nonautonomous system of difference equations xn+1xn+P(n)xnk=0, n=0,1,2,… , where kZ, P(n)∈Rrxr. We obtain sufficient conditions for the system to be oscillatory. The conditions based on the eigenvalues of the matrix coefficients of the system.
Keywords:Difference  Oscillation  Nonautonomous
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