| Title | ASYMPTOTIC BEHAVIOR OF n-TH ORDER SUBLINEAR DYNAMIC EQUATIONS ON TIME SCALES |
| Publication Type | Journal Article |
| Year of Publication | 2011 |
| Authors | BAOGUO, JIA, ERBE, LYNN, PETERSON, ALLAN |
| Secondary Title | Communications in Applied Analysis |
| Volume | 15 |
| Issue | 2 |
| Start Page | 183 |
| Pagination | 194 |
| Date Published | 04/2011 |
| Type of Work | scientific: mathematics |
| ISSN | 1083–2564 |
| AMS | 34K11, 39A10, 39A99. |
| Abstract | In this paper, we study the asymptotic behavior of the following n-th order sublinear dynamic equation
 where p(t) ≥ 0 on an isolated time scale
 and α is a ratio of odd positive integers. As an application, we obtain(i) when n is even, every solution x(k) of the difference equation  where p(k) ≥ 0, is oscillatory if and only if
 (ii) when n is odd, every solution x(k) of the difference equation is either oscillatory or limk→∞x(k) = 0 if and only if the above sum diverges.
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| URL | http://www.acadsol.eu/en/articles/15/2/4.pdf |
| Short Title | ASYMPTOTIC BEHAVIOR OF SUBLINEAR DYNAMIC EQUATIONS |
| Refereed Designation | Refereed |
| Full Text | REFERENCES[1] R. P. Agarwal, Difference Equations and Inequalities, Marcel Dekker, New York, 2000.
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