| Title:
|
On the number of limit cycles of a generalized Abel equation (English) |
| Author:
|
Alkoumi, Naeem |
| Author:
|
Torres, Pedro J. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
73-83 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
New results are proved on the maximum number of isolated $T$-periodic solutions (limit cycles) of a first order polynomial differential equation with periodic coefficients. The exponents of the polynomial may be negative. The results are compared with the available literature and applied to a class of polynomial systems on the cylinder. (English) |
| Keyword:
|
periodic solution |
| Keyword:
|
limit cycle |
| Keyword:
|
polynomial nonlinearity |
| MSC:
|
34C07 |
| MSC:
|
34C25 |
| idZBL:
|
Zbl 1224.34097 |
| idMR:
|
MR2782760 |
| DOI:
|
10.1007/s10587-011-0018-x |
| . |
| Date available:
|
2011-05-23T12:31:53Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141519 |
| . |
| Reference:
|
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| Reference:
|
[2] Álvarez, M. J., Gasull, A., Giacomini, H.: A new uniqueness criterion for the number of periodic orbits of Abel equations.J. Differ. Equations 234 (2007), 161-176. MR 2298969, 10.1016/j.jde.2006.11.004 |
| Reference:
|
[3] Álvarez, M. J., Gasull, A., Prohens, R.: On the number of limit cycles of some systems on the cylinder.Bull. Sci. Math. 131 (2007), 620-637. MR 2391338, 10.1016/j.bulsci.2006.04.005 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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