Stability of solutions of linear nonautonomous difference equations

Abstract

Consider the linear difference equation

where by investigating the asymptotic behavior first of the nonoscillatory solutions and then of the oscillatory solutions of Eq.(1) we obtain sufficient conditions for the global asymptotic stability of Eq.(1)

AMS(MOS):

• 39A12

Keywords:

• Difference equations stability

¹On leave from Department of Mathematics, Yangzhou Teacher's College Yangzhou, Jiangsu, P.R.C.

²On leave from Department of Mathematics, Shanxi University Taiyuan, Shanxi, P.R.C.

¹On leave from Department of Mathematics, Yangzhou Teacher's College Yangzhou, Jiangsu, P.R.C.

²On leave from Department of Mathematics, Shanxi University Taiyuan, Shanxi, P.R.C.

Notes

¹On leave from Department of Mathematics, Yangzhou Teacher's College Yangzhou, Jiangsu, P.R.C.

²On leave from Department of Mathematics, Shanxi University Taiyuan, Shanxi, P.R.C.