Oscillations of linear autonomous systems of difference equations

Abstract

We obtain sufficient conditions for the oscillation of all solutions of systems of linear difference equations with constant coefficients. The conditions are given explicitly in terms of the eigenvalues or the logarithmic norms of the matrix coefficients of the difference equations

Keywords:

• Oscillation
• eigenvalue
• logarithmic norm

AMS(MOS):

• 39A12

On leave from Department of Mathematics, Yangzhou Teacher's College Yangzhou, Jiangsu, P.R.C.

On leave from Department of Mathematics, Yangzhou Teacher's College Yangzhou, Jiangsu, P.R.C.

Notes

On leave from Department of Mathematics, Yangzhou Teacher's College Yangzhou, Jiangsu, P.R.C.