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Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 7
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Original Articles

Positive solutions of nonautonomous linear higher order difference equations

M. I. Gil' *View further author information
Pages 701-706 | Received 08 Sep 2004, Accepted 02 Feb 2005, Published online: 19 Aug 2006
 
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Abstract

We consider the scalar difference equation

with real coefficients ajk , such that
It is proved that the considered equation has n linearly independent positive solutions, provided all the roots of the polynomial
are nonnegative. Moreover, lower solution estimates are established.

Acknowledgement

This research was supported by the Kamea Fund of Israel.

Notes

Additional information

Notes on contributors

M. I. Gil' Footnote*

Email: [email protected]

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