| Title:
|
Comparison theorems for the third order trinomial differential equations with delay argument (English) |
| Author:
|
Džurina, Jozef |
| Author:
|
Kotorová, Renáta |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
59 |
| Issue:
|
2 |
| Year:
|
2009 |
| Pages:
|
353-370 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we study asymptotic properties of the third order trinomial delay differential equation $$ y'''(t)-p(t)y'(t)+g(t)y(\tau (t))= 0 $$ by transforming this equation to the binomial canonical equation. The results obtained essentially improve known results in the literature. On the other hand, the set of comparison principles obtained permits to extend immediately asymptotic criteria from ordinary to delay equations. (English) |
| Keyword:
|
comparison theorem |
| Keyword:
|
property (A) |
| Keyword:
|
canonical operator |
| MSC:
|
34C10 |
| idZBL:
|
Zbl 1224.34251 |
| idMR:
|
MR2532381 |
| . |
| Date available:
|
2010-07-20T15:12:59Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140485 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| . |
