| Title:
|
Oscillation of even order nonlinear delay dynamic equations on time scales (English) |
| Author:
|
Erbe, Lynn |
| Author:
|
Mert, Raziye |
| Author:
|
Peterson, Allan |
| Author:
|
Zafer, Ağacık |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
63 |
| Issue:
|
1 |
| Year:
|
2013 |
| Pages:
|
265-279 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay dynamic inequality is sufficient for oscillation of even order dynamic equations on time scales. The arguments are based on Taylor monomials on time scales. (English) |
| Keyword:
|
time scale |
| Keyword:
|
even order |
| Keyword:
|
delay |
| Keyword:
|
oscillation |
| Keyword:
|
Taylor monomial |
| MSC:
|
34K11 |
| MSC:
|
34N05 |
| MSC:
|
39A10 |
| MSC:
|
39A99 |
| idZBL:
|
Zbl 1274.34262 |
| idMR:
|
MR3035510 |
| DOI:
|
10.1007/s10587-013-0017-1 |
| . |
| Date available:
|
2013-03-01T16:21:00Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143183 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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