Abstract
We consider the scalar difference equation (Formula presented.) with real coefficients a jk , such that (Formula presented.) It is proved that the considered equation has n linearly independent positive solutions, provided all the roots of the polynomial (Formula presented.) are nonnegative. Moreover, lower solution estimates are established.
| Original language | English |
|---|---|
| Pages (from-to) | 701-706 |
| Number of pages | 6 |
| Journal | Applicable Analysis |
| Volume | 84 |
| Issue number | 7 |
| DOIs | |
| State | Published - 1 Jan 2005 |
Keywords
- 39A11
- AMS Subject Classification
- Linear difference equations
- Positive solutions
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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