Oscillations of the system of linear nonautonomous difference equations |
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Authors: | Ö Öcalan Ö Akin |
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Institution: | a Department of Mathematics, Ankara University, 06100 Tando?an, Ankara, Turkey b Department of Mathematics, Gazi University, 06500 Teknikokullar, Ankara, Turkey |
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Abstract: | We consider the linear nonautonomous system of difference equations xn+1−xn+P(n)xn−k=0, n=0,1,2,… , where k∈Z, 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. |
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Keywords: | Difference Oscillation Nonautonomous |
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